{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance (2nd ed.)\n",
    "\n",
    "**Mastering Data-Driven Finance**\n",
    "\n",
    "&copy; Dr. Yves J. Hilpisch | The Python Quants GmbH\n",
    "\n",
    "<img src=\"http://hilpisch.com/images/py4fi_2nd_shadow.png\" width=\"300px\" align=\"left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Stochastics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import numpy as np\n",
    "import numpy.random as npr  \n",
    "from pylab import plt, mpl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use('seaborn')\n",
    "mpl.rcParams['font.family'] = 'serif'\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random Numbers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "npr.seed(100)  \n",
    "np.set_printoptions(precision=4) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "uuid": "8763b99e-6b02-4003-8567-c0f505986e5a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.5434, 0.2784, 0.4245, 0.8448, 0.0047, 0.1216, 0.6707, 0.8259,\n",
       "       0.1367, 0.5751])"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "npr.rand(10)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "uuid": "16f2a7c4-62dd-4d0f-bde9-fafb61e0fb64"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.8913, 0.2092, 0.1853, 0.1084, 0.2197],\n",
       "       [0.9786, 0.8117, 0.1719, 0.8162, 0.2741],\n",
       "       [0.4317, 0.94  , 0.8176, 0.3361, 0.1754],\n",
       "       [0.3728, 0.0057, 0.2524, 0.7957, 0.0153],\n",
       "       [0.5988, 0.6038, 0.1051, 0.3819, 0.0365]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "npr.rand(5, 5)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "uuid": "2d14b433-a7da-4aac-a534-56ab4c8a5d84"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([9.4521, 9.9046, 5.2997, 9.4527, 7.8845, 8.7124, 8.1509, 7.9092,\n",
       "       5.1022, 6.0501])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = 5.  \n",
    "b = 10.  \n",
    "npr.rand(10) * (b - a) + a  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "uuid": "a05adb2b-5704-4189-b0e8-19318ac3f0b9"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[7.7234, 8.8456, 6.2535, 6.4295, 9.262 ],\n",
       "       [9.875 , 9.4243, 6.7975, 7.9943, 6.774 ],\n",
       "       [6.701 , 5.8904, 6.1885, 5.2243, 7.5272],\n",
       "       [6.8813, 7.964 , 8.1497, 5.713 , 9.6692],\n",
       "       [9.7319, 8.0115, 6.9388, 6.8159, 6.0217]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "npr.rand(5, 5) * (b - a) + a  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "uuid": "4618b170-6bd3-4500-905a-0fe402f198c1"
   },
   "outputs": [],
   "source": [
    "sample_size = 500\n",
    "rn1 = npr.rand(sample_size, 3)  \n",
    "rn2 = npr.randint(0, 10, sample_size)  \n",
    "rn3 = npr.sample(size=sample_size)  \n",
    "a = [0, 25, 50, 75, 100]  \n",
    "rn4 = npr.choice(a, size=sample_size) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false,
    "uuid": "d03c9514-c224-4d2b-ad2a-9285058823b0"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(nrows=2, ncols=2,\n",
    "                                             figsize=(10, 8))\n",
    "ax1.hist(rn1, bins=25, stacked=True)\n",
    "ax1.set_title('rand')\n",
    "ax1.set_ylabel('frequency')\n",
    "ax2.hist(rn2, bins=25)\n",
    "ax2.set_title('randint')\n",
    "ax3.hist(rn3, bins=25)\n",
    "ax3.set_title('sample')\n",
    "ax3.set_ylabel('frequency')\n",
    "ax4.hist(rn4, bins=25)\n",
    "ax4.set_title('choice');\n",
    "# plt.savefig('../../images/ch12/stoch_01.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "uuid": "fb2966ea-91ff-49c7-80e6-24bd6162cc5a"
   },
   "outputs": [],
   "source": [
    "sample_size = 500\n",
    "rn1 = npr.standard_normal(sample_size)  \n",
    "rn2 = npr.normal(100, 20, sample_size)  \n",
    "rn3 = npr.chisquare(df=0.5, size=sample_size)  \n",
    "rn4 = npr.poisson(lam=1.0, size=sample_size)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "uuid": "3f790711-f965-4a10-b3df-47cc85d708d3"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ((ax1, ax2), (ax3, ax4)) = plt.subplots(nrows=2, ncols=2,\n",
    "                                             figsize=(10, 8))\n",
    "ax1.hist(rn1, bins=25)\n",
    "ax1.set_title('standard normal')\n",
    "ax1.set_ylabel('frequency')\n",
    "ax2.hist(rn2, bins=25)\n",
    "ax2.set_title('normal(100, 20)')\n",
    "ax3.hist(rn3, bins=25)\n",
    "ax3.set_title('chi square')\n",
    "ax3.set_ylabel('frequency')\n",
    "ax4.hist(rn4, bins=25)\n",
    "ax4.set_title('Poisson');\n",
    "# plt.savefig('../../images/ch12/stoch_02.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Random Variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "uuid": "ac34499c-4675-457e-a0ac-40b8efcdb72e"
   },
   "outputs": [],
   "source": [
    "S0 = 100  \n",
    "r = 0.05  \n",
    "sigma = 0.25  \n",
    "T = 2.0  \n",
    "I = 10000  \n",
    "ST1 = S0 * np.exp((r - 0.5 * sigma ** 2) * T +\n",
    "        sigma * math.sqrt(T) * npr.standard_normal(I))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true,
    "uuid": "7fc0b66a-9ce3-4c5e-bb99-d5e0363a6678"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(ST1, bins=50)\n",
    "plt.xlabel('index level')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_03.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "uuid": "c37a0783-81b1-449f-924e-f792ba5017aa"
   },
   "outputs": [],
   "source": [
    "ST2 = S0 * npr.lognormal((r - 0.5 * sigma ** 2) * T,\n",
    "                        sigma * math.sqrt(T), size=I)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "uuid": "fea07d0c-7fc1-4ab8-8b21-fc36e73c3151"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(ST2, bins=50)\n",
    "plt.xlabel('index level')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_04.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "uuid": "e5e17dcf-21f4-42ee-bcec-21103aaa8bb3"
   },
   "outputs": [],
   "source": [
    "import scipy.stats as scs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "uuid": "d6f800c9-f38f-4fe1-8cb5-fe9253f1194c"
   },
   "outputs": [],
   "source": [
    "def print_statistics(a1, a2):\n",
    "    ''' Prints selected statistics.\n",
    "    \n",
    "    Parameters\n",
    "    ==========\n",
    "    a1, a2: ndarray objects\n",
    "        results objects from simulation\n",
    "    '''\n",
    "    sta1 = scs.describe(a1)  \n",
    "    sta2 = scs.describe(a2)  \n",
    "    print('%14s %14s %14s' % \n",
    "        ('statistic', 'data set 1', 'data set 2'))\n",
    "    print(45 * \"-\")\n",
    "    print('%14s %14.3f %14.3f' % ('size', sta1[0], sta2[0]))\n",
    "    print('%14s %14.3f %14.3f' % ('min', sta1[1][0], sta2[1][0]))\n",
    "    print('%14s %14.3f %14.3f' % ('max', sta1[1][1], sta2[1][1]))\n",
    "    print('%14s %14.3f %14.3f' % ('mean', sta1[2], sta2[2]))\n",
    "    print('%14s %14.3f %14.3f' % ('std', np.sqrt(sta1[3]), np.sqrt(sta2[3])))\n",
    "    print('%14s %14.3f %14.3f' % ('skew', sta1[4], sta2[4]))\n",
    "    print('%14s %14.3f %14.3f' % ('kurtosis', sta1[5], sta2[5]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "uuid": "980679e8-56af-49e3-85f3-4b4d1ed90312"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     statistic     data set 1     data set 2\n",
      "---------------------------------------------\n",
      "          size      10000.000      10000.000\n",
      "           min         32.327         28.230\n",
      "           max        414.825        409.110\n",
      "          mean        110.730        110.431\n",
      "           std         40.300         39.878\n",
      "          skew          1.122          1.115\n",
      "      kurtosis          2.438          2.217\n"
     ]
    }
   ],
   "source": [
    "print_statistics(ST1, ST2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Stochastic Processes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Geometric Brownian Motion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "uuid": "a6b64214-0041-49cb-b7a8-7b4965d1d03a"
   },
   "outputs": [],
   "source": [
    "I = 10000  \n",
    "M = 50  \n",
    "dt = T / M  \n",
    "S = np.zeros((M + 1, I))  \n",
    "S[0] = S0  \n",
    "for t in range(1, M + 1):\n",
    "    S[t] = S[t - 1] * np.exp((r - 0.5 * sigma ** 2) * dt +\n",
    "            sigma * math.sqrt(dt) * npr.standard_normal(I))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "uuid": "969180df-b1f3-4f6d-8ec6-21cadbec06f1"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(S[-1], bins=50)\n",
    "plt.xlabel('index level')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_05.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "uuid": "37d83fc1-6b2d-4d94-a5d1-75d2ba569283"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     statistic     data set 1     data set 2\n",
      "---------------------------------------------\n",
      "          size      10000.000      10000.000\n",
      "           min         27.746         28.230\n",
      "           max        382.096        409.110\n",
      "          mean        110.423        110.431\n",
      "           std         39.179         39.878\n",
      "          skew          1.069          1.115\n",
      "      kurtosis          2.028          2.217\n"
     ]
    }
   ],
   "source": [
    "print_statistics(S[-1], ST2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "uuid": "c424f261-aa3f-4b04-9b5d-bb6824107fa0"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(S[:, :10], lw=1.5)\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('index level');\n",
    "# plt.savefig('../../images/ch12/stoch_06.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Square-Root Diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "uuid": "b00481e7-074a-4d04-a65d-4ee95f971116"
   },
   "outputs": [],
   "source": [
    "x0 = 0.05  \n",
    "kappa = 3.0  \n",
    "theta = 0.02  \n",
    "sigma = 0.1  \n",
    "I = 10000\n",
    "M = 50\n",
    "dt = T / M"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "uuid": "e085f53a-d065-424e-b1f4-d41c64464c2a"
   },
   "outputs": [],
   "source": [
    "def srd_euler():\n",
    "    xh = np.zeros((M + 1, I))\n",
    "    x = np.zeros_like(xh)\n",
    "    xh[0] = x0\n",
    "    x[0] = x0\n",
    "    for t in range(1, M + 1):\n",
    "        xh[t] = (xh[t - 1] +\n",
    "                 kappa * (theta - np.maximum(xh[t - 1], 0)) * dt +\n",
    "                 sigma * np.sqrt(np.maximum(xh[t - 1], 0)) *\n",
    "                 math.sqrt(dt) * npr.standard_normal(I))  \n",
    "    x = np.maximum(xh, 0)\n",
    "    return x\n",
    "x1 = srd_euler()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "uuid": "93283652-414e-4773-99ca-00e0b24cc088"
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmYAAAFyCAYAAABfgxaaAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvDW2N/gAAGltJREFUeJzt3XuUZVddJ/Bvk+KRQPfQYLWDgFEg/BRXBBbDZCIPSRQZDIziuGZAA2oja/kYxhCCNBE08kgaEgTGwcE1EJXF+BqVhwlIhKCBrBiQcRBH/CkPEaKSHuikGyMIoeePe1tqmn7c7qpbtavv57NWr66zz773/m7tutXf3uecfbYcOHAgAABsvDtsdAEAAEwIZgAAgxDMAAAGIZgBAAxCMAMAGIRgBgAwiKWNLmA19uzZb62PQW3fflr27r1to8vgBBi7zc34bW7Gb/OaZeyWl7duOdbzmDFjLpaWTtnoEjhBxm5zM36bm/HbvNZq7AQzAIBBCGYAAIMQzAAABiGYAQAMQjADABiEYAYAMAjBDABgEIIZAMAgBDMAgEEIZgAAgxDMAAAGIZgBAAxCMAMAGMTSRhcAi27n7mtn6nflrnPnXAkAG82MGQDAIAQzAIBBCGYAAINwjhlsEs5FAzj5mTEDABiEYAYAMAjBDABgEIIZAMAgBDMAgEEIZgAAgxDMAAAGIZgBAAxCMAMAGIRgBgAwCMEMAGAQghkAwCAEMwCAQQhmAACDEMwAAAaxNM8nr6pK8pQk/5jkW5NckuTmJC9I8uEkX5fk2d392aq6Q5JLk3w2yelJXtfdfzTP+gAARjK3GbOqOiXJzyV5YXe/NMnTk3wsyWuS/GJ3X5bkz5I8d/qQ/5BkW3e/eNr2+ulzAAAshHkeynx4ki1JnllVz0vyxCS3JDknyfumfa5Pct706/OS3JAk3f2ZJJ9L8k1zrA8AYCjzPJR5epKzkzylu2+tqjckuWeSf+zuA9M++5LsmH69I8n+FY9fue+wtm8/LUtLJtVGtby8daNLWEhr8X03dpub8dvcjN/mtRZjN89gti/JX3T3rdPt9yR5VJJTq2rLNJxty+Scs0z/XvmOVu47rL17b1vbilkzy8tbs2fP/mN3ZM2t9vtu7DY347e5Gb/Na5axmyW4zfNQ5o1J7rniPLHTk/yfJO/K5DBnkjwiydXTr6/OZIYtVXWPJHeZ9gcAWAhzmzHr7s9U1XOTvLKq9iRZTvLCJL+a5Ker6juSfG2SC6cP+c0kD62qn5m2P627b59XfQAAo5nrchnd/cYkbzyk+a+T7DxM3y/ly1doAgAsHAvMAgAMYq4zZsD627n72pn6Xbnr3DlXAsDxMmMGADAIM2YwJ7POXAHAQWbMAAAGIZgBAAxCMAMAGIRgBgAwCMEMAGAQrsqEBXU8V41a8wxgfZgxAwAYhGAGADAIwQwAYBCCGQDAIAQzAIBBCGYAAIMQzAAABmEdM2DNzLo2mnXRAA5PMIPjdDwLswLA8XAoEwBgEIIZAMAgBDMAgEE4xww4JufVAawPM2YAAIMQzAAABiGYAQAMQjADABiEYAYAMAjBDABgEIIZAMAgBDMAgEEIZgAAgxDMAAAGIZgBAAxCMAMAGIRgBgAwCMEMAGAQSxtdAIxi5+5rN7oEABacGTMAgEEIZgAAg5jrocyq+qMkn5tu3t7d31ZV90iyO8lHk5yR5OLu/tS0/3OSbEuyPck13f2WedYHADCSeZ9j9nvdfckhbZcmeUd3/2ZVPTHJFUmeWlVnJTmnu7+zqu6Y5M+r6rruvmXONQIADGHehzLPrKrnVtUlVXXetO28JDdMv75+up0kTzjY3t1fSPKhJI+ec30AAMOY94zZS7v7vVV1SpLrqmp/kh1J9k/370uyvaqWpu0fWvHYfdO2I9q+/bQsLZ0yh7JZC8vLWze6BAblZ2O+fH83N+O3ea3F2M01mHX3e6d/315V705yTpKbk2xNcksm55Pt7e4vVtXB9oO2Tfse0d69t82lblZveXlr9uzZf+yOLKQnPvvNM/W7cte5c67k5OOzt7kZv81rlrGbJbjN7VBmVX1DVT19RdMZST6c5OokZ0/bHjHdTpKrDrZPZ9AelOS6edUHADCaec6Y7UvyhKr6mkxmvz6R5NeSvC3JS6vqgUnun+SiJOnuG6vqXVV1aSZXZV7oxH8AYJHMLZh1998medJhdn0myTOO8JjL51UPAMDoLDALADAIwQwAYBCCGQDAIAQzAIBBCGYAAIMQzAAABiGYAQAMQjADABiEYAYAMAjBDABgEIIZAMAgBDMAgEEIZgAAgxDMAAAGIZgBAAxCMAMAGIRgBgAwiKWNLgDgSHbuvnamflfuOnfOlQCsDzNmAACDEMwAAAYhmAEADEIwAwAYhGAGADAIwQwAYBCCGQDAIAQzAIBBCGYAAIMQzAAABiGYAQAMQjADABiEYAYAMAjBDABgEIIZAMAgBDMAgEEIZgAAgxDMAAAGIZgBAAxCMAMAGIRgBgAwCMEMAGAQS/N+gao6NcmNSa7p7ouq6i5JrkhyU5Izkuzu7r+c9j0/yUOT3J7kI939i/OuDwBgFOsxY/biJH+yYvuCJH/T3ZcleUWS1yVJVd0nyUVJLurun0zyw1V1xjrUBwAwhLkGs6p6apLrk3xsRfN5SW5Iku7+YJIHV9W2JI9L8v7uPjDtd0OSx8+zPgCAkcztUGZVPSjJN3b3xVX1zSt27Uiyf8X2vmnbkdqPaPv207K0dMoaVcxaW17eutElsCD8rP3/fD82N+O3ea3F2M3zHLMnJflcVe1K8sgkd6qqC5LcnGRl5dumbTcnecAh7R8+2gvs3XvbmhbM2lle3po9e/Yfu+Oc7dx97UaXwDoY4WdtFKN89jgxxm/zmmXsZglucwtm3f2Sg19PT/i/W3e/cvr12UneXVVnJvlAd++rqrcneWZVbZkezjw7yc/Pqz4AgNHMdI5ZVb3oRF+gqv59kkcn+TdV9ZQkr0pyelU9P8mzkzw9Sbr7k5lcrfmKqnp5ktd291+d6OsCAGw2s86YPaGqvj7JO5P8Wnd/btYX6O7fTvLbhzT/+BH6viHJG2Z9bgCAk8msV2U+rbvPT/KJJK+uqt1Vdf851gUAsHBmnTE7eDbbR5PckuQZmSxzcXOS/9Ld759HcQAAi2TWGbMrq+rqJO9OcluSh3T34zMJaM+dV3EAAItk1hmzeye5JMl3d/cXDmn/hrUuCgBgEc0azH6gu//o4EZVndLdt3f3x5J881EeBwDAjGY9lPn0qrpqxfavVtW/m0dBAACLatZgdsfufsKK7ScnEcwAANbQrMHs5pUb05X5b137cgAAFtes55h9dVU9M8n1SQ5kcu/Lr5pbVQAAC2jWGbMLk5yV5Jrpn4dP2wAAWCMzzZh196eTnL+ybbry/6fnURQAwCKaKZhV1SlJzk3y1fnyLNv5Sb5jTnUBzGzn7mtn6nflrnPnXAnA6sx6jtlVSbYl+UiS26dt955LRQAAC2rWYLa1ux+xsqGq/NcTAGANzXry/zun55St9MC1LgYAYJHNOmP2tCS7qur/Jvl8ki1Jtid5zbwKAwBYNLMGs08mecyK7S2Z3NQcAIA1Mmswe1x337ayoap+aA71AAAsrFmD2d2q6r8lOTXJDyX5uSS7kuydV2EAAItm1pP/L09yXZLPd/c/ZHJu2cvmVhUAwAKaNZjd1N2vS/LZJOnuP0lyy9yqAgBYQLMGs3tO/z6QJFV11ySHLp8BAMAqzHqO2Tuq6s+S3Lmqrk7yr5I8c35lAQAsnllvYv4/q+pPk3x7JktlXNjdPdfKAAAWzKwzZpkGsX8OY1X1pO5+41yqApgDNzsHRjdTMKuqKw/TfFYSwQwAYI3MOmN23yRvmH59xyQPSfLWuVQEALCgZg1mO7v7Eysbqmr3HOqBmcx6SAoANpNZg9mWqvra6dd3SHKvJN8yn5IAABbTrMHsg0k+nckVmQeS/F2s/A8AsKZmDWY/092vnGslAAALbtaV/2870o6q+pE1qgUAYKHNOmP201X15MO0b0lyRiY3NQcAYBVmDWa/k+TWJO+ebj8yyV2SXJ3kwjnUBQCwcI5n5f8XrNi8pqp+rrv/sKo+PIe6AAAWzqznmJ1ZVXc6uFFVd07y0CTp7pvmURgAwKI5nkOZH6+q92WyXMbDk7xkblUBbKDjWcDYfTWBtTTTjFl3/3ySxyb5/STvTPK47n71PAsDAFg0M59jluRzST6U5A8yWfkfAIA1NNOMWVX9YJK3J3leJktkvKKqzp9jXQAAC2fWGbNHZbJe2au7+wtJvreqXp3kDUd6QFXdIcnvJrkxyZ2S3D/JziSnJtmd5KPT57y4uz81fcxzkmxLsj3JNd39lhN5UwAAm9GsV2X+fXd/6ZC2Q7cP54bufmF3Pz/JaUm+J8mlSd7R3buTvCnJFUlSVWclOWe6LMezkry8qu4+Y30AAJverMFsuaq+L8ndq+rhVfVTSe5xtAd095e6+8VJUlVLSe6TpJOcl+SGabfrp9tJ8oSD7dNZuQ8lefRxvBcAgE1t1kOZz03yqiTfPv3ztiT/eZYHVtXjMpkBu6q7/7iqdiTZP929L8n2aXDbkUkYy4p9O4723Nu3n5alpVNmfAust+XlrRtdAszdiD/nI9bE7Izf5rUWYzdrMHtqkl/u7qcd7wt099uTvL2qXl9VP5bk5iRbk9ySyflke7v7i1V1sP2gbdO+R7R37xHvrc4GW17emj179h+7I2xyo/2c++xtbsZv85pl7GYJbrMeynxOkk/M2DdJUlUPqqrzVjR9LMn9Mrm/5tnTtkdMt5PkqoPt0xm0ByW57nheEwBgM5t1xuzdST6ysqGqfqC7f+Uoj/l8kqdX1UOT3DHJN2Zy+POfkry0qh6YyZWaFyVJd99YVe+qqkszuSrzwu6+5bjeDQDAJjZrMNuf5N1V9QeZBK4k+c4kRwxm3f2RTK7CPJxnHOExl89YDwDASeeohzKr6heqalsmJ/xfk8ls15bpHwAA1tCxZsw+3937qmpLd//syh1Vdfsc6wIAWDjHCmZVVTuTfLiqDr0i0xpjAABr6FjB7NIkT8tkcdhzDtl377lUBACwoI4azLr7PUneU1Xf092/s3JfVR3pxH4AAE7ATOuYHRrKjtQGAMCJm3WBWQAA5kwwAwAYhGAGADCIWVf+B+Awdu6+dqZ+V+46d86VACcDM2YAAIMQzAAABiGYAQAMQjADABiEYAYAMAjBDABgEIIZAMAgBDMAgEEIZgAAgxDMAAAGIZgBAAxCMAMAGIRgBgAwCMEMAGAQSxtdAKy0c/e1G10CAGwYM2YAAIMQzAAABiGYAQAMQjADABiEYAYAMAjBDABgEIIZAMAgBDMAgEEIZgAAgxDMAAAGIZgBAAxCMAMAGIRgBgAwCMEMAGAQghkAwCCW5vXEVXX/JC9O8r+S3CfJp7v7hVV1jyS7k3w0yRlJLu7uT00f85wk25JsT3JNd79lXvUBAIxmnjNm90jy6919eXf/RJInV9XDklya5B3dvTvJm5JckSRVdVaSc7r7BUmeleTlVXX3OdYHADCUuQWz7n5fd7/5kNf6hyTnJblh2nb9dDtJnnCwvbu/kORDSR49r/oAAEYzt0OZK1XVk5K8vbv/oqp2JNk/3bUvyfaqWkqyI5MwlhX7dhztebdvPy1LS6fMo2TWwPLy1o0uAYYx6+fhic9+87E7Jfndl3/Xql+LMRm/zWstxm7uwayqzklyTpILpk03J9ma5JZMzifb291frKqD7Qdtm/Y9or17b1v7glkTy8tbs2fP/mN3hAWx1p+HIz2fz97mZvw2r1nGbpbgNtdgVlXnJXlUkp9Icq+qOj3J1UnOTvKJJI+YbifJVUl+Zvq4pSQPSnLdPOtj/ezcfe1GlwAbymcAmMU8r8p8WJLfSPLHSd6V5K5JXp3k4iQvraoHJrl/kouSpLtvrKp3VdWlmVyVeWF33zKv+gAARjO3YNbd709ytyPsfsYRHnP5vOoBABidBWYBAAYhmAEADEIwAwAYhGAGADAIwQwAYBCCGQDAIAQzAIBBCGYAAIMQzAAABiGYAQAMQjADABiEYAYAMAjBDABgEIIZAMAgBDMAgEEIZgAAgxDMAAAGsbTRBQBw/HbuvnamflfuOnfOlQBryYwZAMAgBDMAgEEIZgAAgxDMAAAGIZgBAAxCMAMAGIRgBgAwCOuYsSqzrqUEABybGTMAgEEIZgAAgxDMAAAGIZgBAAxCMAMAGIRgBgAwCMEMAGAQghkAwCAEMwCAQQhmAACDEMwAAAYhmAEADEIwAwAYhGAGADCIpXk9cVX9yyQvTvLg7n74tO0uSa5IclOSM5Ls7u6/nO47P8lDk9ye5CPd/Yvzqg0AYERzC2ZJHpnkzUkesqLtgiR/090vq6ozk7wuyaOq6j5JLkry0O4+UFXvq6pru/uv5lgfAFM7d187U78rd50750pgsc0tmHX3b1XVYw5pPi/JxdP9H6yqB1fVtiSPS/L+7j4w7XdDkscnEcwAVmHWwAWMYZ4zZoezI8n+Fdv7pm1Haj+q7dtPy9LSKWtaIABHtry8daNLOOn5Hm9eazF26x3Mbk6ysupt07abkzzgkPYPH+vJ9u69bU2LA+Do9uzZf+xOnLDl5a2+x5vULGM3S3Bb76syr05ydpJMzzH7QHfvS/L2JA+rqi3Tfmcneds61wYAsKHmFsyq6luTPDXJvarq+VV1apJXJTm9qp6f5NlJnp4k3f3JTK7WfEVVvTzJa534DwAsmi0HDhw4dq9B7dmzf/MWPzgnDAOH46rM+XIoc/Oa8VDmlqN2iAVmAQCGIZgBAAxCMAMAGIRgBgAwCMEMAGAQghkAwCAEMwCAQaz3LZkA2MSOZ41Da57B8TNjBgAwCMEMAGAQghkAwCAEMwCAQQhmAACDEMwAAAYhmAEADMI6ZgDMxaxrnlnvDL7MjBkAwCAEMwCAQQhmAACDEMwAAAbh5P8Fczw3IAZYDy4SgC8zYwYAMAjBDABgEIIZAMAgBDMAgEEIZgAAg3BVJgCbgqs3WQRmzAAABmHGDICTipk1NjMzZgAAgxDMAAAG4VDmScBtlgCOn0OejMiMGQDAIAQzAIBBCGYAAINwjhkAHIVz0VhPghkArIHjuRBLiONIHMoEABiEGbOBWQYDgFk43HryEMwAYFD+g754hgtmVfXtSb4nyc1JDnT3z25wSQAA62LLgQMHNrqGf1ZVpyX50yTf1N2fr6rfTvIL3f3Ow/Xfs2f/OMXPgf8pATAyh0a/bHl5a/bs2X+sPluO9TyjzZidneTj3f356fb1Sc5Lcthgtl4EJABYnbX+t3TWULjZzr8bbcbsKUn+Y3d/93T7h5M8prvP39jKAADmb7TlMm5OsnXF9rZpGwDASW+0YHZDktOr6s7T7UckuXoD6wEAWDdDHcpMkqp6bJLvTbInyRdclQkALIrhghkAwKIa7VAmAMDCEswAAAYx2jpmDO5Yd2aoqrskuSLJTUnOSLK7u/9yuu8B031f7O7vXdfCSXLi41dVD09yQZI/SVJJ3tvd/31di19wqxi7HUl+Kcl7kuxIcqckz+zuL61n/YtuNb87p/t3ZPL5u6y7/+u6FU6SVf/b99dJ/nra9abu/v6jvZYZM2Y2vTPDa5I8q7svSfLNVfVth3S7IMnfdPdlSV6R5HUr9p2V5K3rUStfaZXjd68kr+ruK5L8WJKXVdVXrU/lrHLslpK8qbsv6+5nJXlkJot5s05W+7uzqu6Q5CVJ/nh9KmalNfi375e7+zHTP0cNZYlgxvE50p0ZVjovk2VP0t0fTPLgqto23f4fSf5pnWrlK53w+HX3W7r7vSv6fTHJF+ZdMP9sNWP3twdnN6vqbknuluTj61M2U6v63ZnkuUlem2TvOtTKV1rt+D26qn6yql5UVd9yrBcTzDgeO5KsvBHYvmnb8fZhY6zV+P2nJJd2961rXiFHsuqxq6onZ7Iu5Mu6+5NzqpPDO+Hxq6pzktzW3TfOt0SOYrWfv13d/bIklyW5cnpazxEJZhyPWe7M4O4N41r1+FXV9yW5a3e/Yl5FclirHrvu/vUk5yR5SlV955zq5PBWM37fleTUqtqV5Mwkj62qH5pjrXylVX3+Dh5t6O7bkvzvTBbPPyLBjONx2DszVNU9VkzZXp3p+StVdWaSD3T3vvUvlcNY1fhN7127o7tfXFVnVtUD17n+RXbCY1dV31pV/zpJpif8fzzJ/da3/IV3wuPX3Rd09+7u3p3kg0l+v7t/ab3fwIJbzefv26rq3654rgck+cjRXswCsxyXw92ZoapeluQz3b27qk7N5MqUv8vkB/DSFVemfFeSp2VyVd/rp1O7rKMTHb/p2L0+k6vCkuSemVzZ9wfr/iYW1CrG7qwkF2UydluT3DvJj3b3P2zIG1lQq/ndOX38zkxOI7gpyS9099vW/U0ssFV8/s5MckmS9yf5mkyuyrzsaK8lmAEADMKhTACAQQhmAACDEMwAAAYhmAEADEIwAwAYhGAGMFVVL6iq/VX1dRtdC7CYBDOAqe5+UZJPb3QdwOJa2ugCAOahqpaSvDHJw5I8q7t/o6p+JZPFH/88ye2Z3NvuqzJZLPezhzz+7CSvSvLW7r6kqi5O8pLu3jLdf3qSn81kQcn7JvnV7n7r+rw74GRlxgw4KXX3F5Ocn+QuSX5/2vznSX4syTu6+0e6+znTth8/zONvSPLWFduXHtLlDUle293PS/KjSX6pqu6+5m8EWCiCGXDS6u5bk1yV5PunTQ/u7g8k2V9Vv1xVr0ry2CTHdd/Pqtqa5JFJfrCqXpPk8kzuf3ffNSseWEgOZQInu9cleWVV/WmS66rqvkl+K8n9uvvvq+oHkzzmCI89kOSUJKmqOx5m/09196em+09N8k9rXDuwYMyYASe17v7DJHdL8qIkv5bkX0x33Tr9+2uP8vC/T3Kv6dcPWfGc+5Ncn+Q7kqSq7pDkbUnuvGaFAwvJTcyBk15VPS/JN3T3D0y3X5lJ0Hpfkm9Mcv8kz5627crkooEfSXJakjcl+bMkNyT5lSSXd/dPVtXXJ3l5kk8kuWuS3+ru31vP9wWcfAQzAIBBOJQJADAIwQwAYBCCGQDAIAQzAIBBCGYAAIMQzAAABiGYAQAMQjADABjE/wO4bRC+gjfINQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(x1[-1], bins=50)\n",
    "plt.xlabel('value')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_07.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "uuid": "59c2b6b1-7c7d-44bd-8ae3-8ad16dd2eb30"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(x1[:, :10], lw=1.5)\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('index level');\n",
    "# plt.savefig('../../images/ch12/stoch_08.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "uuid": "b901c93e-a4a9-4f8f-98d9-69754cb586bf"
   },
   "outputs": [],
   "source": [
    "def srd_exact():\n",
    "    x = np.zeros((M + 1, I))\n",
    "    x[0] = x0\n",
    "    for t in range(1, M + 1):\n",
    "        df = 4 * theta * kappa / sigma ** 2  \n",
    "        c = (sigma ** 2 * (1 - np.exp(-kappa * dt))) / (4 * kappa)  \n",
    "        nc = np.exp(-kappa * dt) / c * x[t - 1]  \n",
    "        x[t] = c * npr.noncentral_chisquare(df, nc, size=I)  \n",
    "    return x\n",
    "x2 = srd_exact()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "uuid": "98648791-2251-4313-baef-e65e4f3ea059"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(x2[-1], bins=50)\n",
    "plt.xlabel('value')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_09.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "uuid": "3d998e1a-e225-4de8-b09b-abf8651d30cb"
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmcAAAFyCAYAAACwQX2kAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvDW2N/gAAIABJREFUeJzs3Xd8XNd54P3fnT6DqQBmBr0Dww6xk+q9WLbjxHbs2LGdZN83GyfZ9xMn2fTdeLNpu37zZlPs2EncY1txLMuWLFtWo0Sx9w4OCIDoHZjB9H7fPwYAC0AQADEEaT/fz0cfiveee++5uKL06JznPEdRVRUhhBBCCHFn0Kx2B4QQQgghxBUSnAkhhBBC3EEkOBNCCCGEuINIcCaEEEIIcQeR4EwIIYQQ4g4iwZkQQgghxB1Et9odWEljY+GC1wVxuSwEArFCP0YsgXyTO5N8lzuPfJM7k3yXO8/t+iZut02Z77iMnC2RTqdd7S6I68g3uTPJd7nzyDe5M8l3ufOs9jeR4EwIIYQQ4g4iwZkQQgghxB1EgjMhhBBCiDuIBGdCCCGEEHcQCc6EEEIIIe4gEpwJIYQQQtxBJDgTQgghhLiDSHAmhBBCCHEHkeBMCCGEEOIOIsGZEEIIIcQdRIIzIYQQQog7iARnBZCNREhPTq52N4QQQghxF5LgrACG/uXzDPyfv1ntbgghhBDiLqRb7Q78pElPThC7cB6AXDKJxmhc5R4JIYQQ4m4iI2crLHTwAKgqqCrJgYHV7o4QQggh7jISnK0gVVUJHdiH3u0GINXft8o9EkIIIcTdRoKzFZTo7CA9MkLxs+9BMRpJSnAmhBBCiCWS4GwFhQ7sQzEasW3bgbGySoIzIYQQQiyZBGcrJJdKET56BNvWbWhMJoxV1ST7+1FVdbW7JoQQQoi7iARnKyRy8gS5eBz7vfcDYKyqIheLkgkEVrlnQgghhLibSHC2QkIH9qErKcHc4gPAUFUNIFObQgghhFgSCc5WQDoQIHbhPPZ770fR5H+kxqoqQFZsCiGEEGJpJDhbAeGD+0FVse++b/aY1lKErriEZH//KvZMCCGEEHcbCc5ukaqqTB3Yh7m5BYPHc805Y5Ws2BRCCCHE0khwdosSXZ2kh4ex33f/nHPGqmpSI8Pk0ulV6JkQQggh7kYSnN2i0IH9KAYD1q3b55wzVlVDNkt6eGgVeiaEEEKIu5EEZ7cgl04RPnII65ataM3mOedlxaYQQgghlkqCs1sQPXmSXDyO474H5j1v8HpRdDoJzoQQQgixaBKc3YKpA/vRFRdj9q2Z97yi1WKoqJQVm0IIIYRYNAnOlikTDBA7fxb77vtma5vNJ7+Nk4ycCSGEEGJxJDhbptDBg/naZvfet2A7Y1U12akpMqHQbeqZEEIIIe5mEpwtg6qqhA7sw9TYhMFbtmBbY3V+UUBqQKY2hRBCCHFzEpwtQ7L7MqmhwXlrm13PML2NU7JPpjaFEEIIcXMSnC3D1IF9KHo9tm07btpWZ7Ojtdvv2rwzVVVXuwtCCCHETxUJzpYol04TPnwY6+ataC2WRV1zty4KiCUy/NE/H+JHh3tWuytCCCHETw0JzpZo8sgxcrHooqY0ZxirqkkNDqBmswXs2cp7/u1ORgJxjvvHVrsrQgghxE8NCc6WaPTNPehcLixr1y36GmNVNWomQ2pkpIA9W1ntfUH2nBygyKSjeyhMPJlZ7S4JIYQQPxV0hby5z+d7HPg5YBRQ/X7//7juvAn4f4EBoBn4a7/f3z59rhvonm464Pf7P1rIvi5GJhgkcOIkrqeeWbC22fVmFgWk+vswVlQUqnsrJp3J8dVXLlJiN/Hhx5r57Atn6RyYYkNDyWp3TQghhPiJV7CRM5/PZwE+D3zK7/d/Gtjk8/keu67ZbwG9fr//r4C/Bb541bmv+P3+h6f/WvXADKBnzxtEUXDcpLbZ9QzlFaDR3DV5Zy8f7GZoIsbHn/axob4YrUbhYm9wtbslhBBC/FQo5LTmbqDH7/cnp3+/H3j2ujbPAgcB/H7/WaDV5/PZp8896PP5fs/n8/1Pn893bwH7uWj7zsc5XvszBNWlDThq9HoMZeXLDs6ysShTe9++LSsnB8YivHywh13rvWxsKMFo0FJfbsffGyj4s4UQQghR2GlNDxC+6veh6WOLaRMC/sDv9x+ZHoE74fP53u33+zsWeqDLZUGn0956z28gZp5EHy/hha+f4ec+tpV1rTWLvnayqZ7wRT9ut23Jz+35+ouMfOe7VGzfhKVm8c9cqlxO5X9/6yQWk57f/PnNOKxGADav8fD8ng6sdjNmY0FnwpdtOT9XUXjyXe488k3uTPJd7jyr+U0K+V/aUeDqN7NPH1tUG7/ff2T615jP5zsF3AcsGJwFArFb7PLCss33UXf464xn7+c7XzvN1nsn2P5AI4qi3Pzi0jKSo/sY7hlZdAkOyNcZG35rLwDDbV3YzK7ldv+m3jjez8WeAP/Xu9eSiqcYi6cAqCktIpdTOXSq/47MO3O7bYyNhW/eUNxW8l3uPPJN7kzyXe48t+ub3CgALOS05kGg1ufzGad/fx/wss/nK75q6vJl8tOf+Hy+jcBpv98f8vl8j/l8vqevulcT0FnAvi7Ku7Y08mZtPa1DP8KTu8zxA/288vxZUotYyWioWt42TomuTjLj4wCkC7jaczKU4Pm3O1lf52L3+mu3pGqqdEjemRBCCHGbFCw48/v9MeCTwN/7fL4/B874/f43gD8Afn262d+RD+D+BPgd4D9NHx8F/m+fz/dHPp/vH4Hn/X7/vkL1dbHqKx2EU+s5ssHChq63WVNygZ7OCZ7/6nGCkwuP2hmng7Ol5p2FDh1E0evRWCykRoeX3feFqKrKv73aTk5V+fjTa+aMBBoNWurKbfj7JO9MCCGEKLSCJhD5/f7XgNeuO/Z7V/19HPiNea47C7y/kH1bDkVRcNvsHNWuwVd8ktLTx7C/K8Wpixt5/ivHefy966htmn/aT+dyobEULSk4UzMZIseOUNR6D5lAoGAjZ8f8Y5zqGOfnH2nC7TTP22ZNjYtXDveSSGUwGe7MvDMhhBDiJ4EUoV2i1rpi0iP1vL7DgS6ZI362g/t2HcNiifPD75zl+P7ueVdVKoqCsaqKZP/ipzVjFy+QDYex79yFweslNbrywVk0keYbr7VTW2bjie1VN2znq3GSzal0DEyteB+EEEIIcYUEZ0v07M46yJiY0DVxfF0RnksRhsay7Np2hOqaOEfe6ebHL5yfNw8tv8dmP2out6hnhQ4dRGOxYNmwCb3HSzYYJJdM3vzCJfj2mx1EYml+6ek1aBcorDuTd+aXvDMhhBCioCQ4W6LqKicms470aAOH1xcRdhixvdlByNLMxjVH2dQapvvSOD9+4fyca41V1ajJBOmJ8Zs+J5dMEjl5AuvWbfk6ad58kn56BUfP2noCvHNmiKd2VFNbtvCSYZNBR125jYtS70wIIYQoKAnOlkhRFLx2E+lJPdloFa9st2KP5rj0w3cweB+guuwkvrVR+rsDJOLpa66dXbG5iLyz6OlTqMkk9p27AdB7vflrVyjvLJXO8tVXLuJxmnnv/fWLumZNjYvuoTCJlOyzKYQQQhSKBGfL0FrlBKBYbWXArWWktY6NFyP88NQRHBWP47JeAmCg59pRJmNlJSjKovLOQocPonU6Mbf4ADB48vV7V2rk7KUD3YwG4nz8aR9G/eIK90remRBCCFF4Epwtw70by1E0ComomVzAy/dbUuTsRax9s50D4QhVjT50ugy9nWPXXKcxGtF7PDddsZmNRIieO4t9x67ZDdY1JjNah2NFRs7CsRSvHO7lvg1lrKsrXvR1TZUONIrknQkhhBCFJMHZMrg9VixmHaFggmplM3F9hpGnd1A6lWX85ReJFlVSUhyk//Lc3LL8ooCFg7Pw8WOQzWLbueua4waPd0VGzjoHQmRzKg+0VizpOpNBR325TYIzIYQQooAkOFsGRVEotxnJRDOsq28iG3Tzor4L49YtbDsf4btHv4fHmyESUZkKxK+51lhVTXp0dMFVl+HDB9GXlWGsqb3muN7rJTVy64VoOwen0GqUmy4CmI+vxsXloRDJVPaW+yGEEEKIuSQ4W6Yt1fk9LnsDMWyRdSTVOJcf9qExmdnyVi/x4nxQ1nPp2lEyY1UVqCrJgYF575uenCDe7se+c/ecSv0Gj5dsKEQ2Hp/32sXqGgxR5bEuOtfsamsk70wIIYQoKAnOlmnL+jI0WoXL/VM8vb6VbMjFD8cO4/nwRyifyDBy8iQmU4KejmuDsJut2AwfOQyAbceuOedmVmzeytRmLqfSNRSiscJ+88bzaKrK551JSQ0hhBCiMCQ4Wya314rVqCMymWBdSzHasRaimQjna3SwpokdJ0K4suOMDGbJZq8UndWXlKIYTTfMOwsfPoipoQHDdCB2NYNnutbZLSwKGBiPkkxlaaxwLOt6yTsTQgghCkuCs2VSFIVqu4lcMsu5kTD3N2wkF3HwSs9b1P7Gp2hrsVHc10k6o6P31Ikr12k0+W2cBuaW00gODJDs68O2Y/e8z9RPl9O4lW2cOgfz05ENlcsbOQPJOxNCCCEKSYKzW7ClNp93duzSGI9vrSYz1EAgGeD0lJ/Yex/mXGs+N6z9O/sIHz0ye11+j82+OXtwho8cAkXBtn37vM/TGI3oXK5bGjnrGghhNevx3GCD88WYzTsblLwzIYQQYqVJcHYL1vnc6HQa+gfDFDtMbHKvh7iNV7rf5B73Rs7X5rBZE0xaKxj6wucY+dqXySWTGKuqyUWjZIJXpgZVVSV8+BCWdevROZw3fKbec2sboHcOTtFQYZ+z2GApGmfrnUnemRBCCLHSJDi7Be4yGza9hkQgSV84zpPbqkkN1DMSGyWeiVOkt6B64kzpSjE/vJupvW/T+xd/hmI0AtcuCkh0dZIeH5t3IcDVDF7vskfOYok0QxOxZS8GmGE2zuyzKXlnQgghxEqT4OwWaDQa6u0m1EyOI90TtFQ7Kdc1o0kX8WrPW2wsWUe7sRtV1RCo91D5qd8lGw4z+vWvApDo6529V/jwQRS9HuuWrQs+U+/xko2EycaiS+5v11AIgIbK5S0GuJqvxsnlQck7E0IIIVaaBGe3qLW+BICzlydQFIUntlWT6KunLzJAidlFoGgEjUZlsDeGyddI7af/DHNTCwBTb71JNhZDzWQIHz1CUes9aM0L54LNrOJczuhZ10AIBWgov7WRM8hvgi55Z0IIIcTKk+DsFjU3l2LQaxgfiRHLZNm1zos5Xosua+H8hB+jXo+uOMHYhJNY8Dw6h5PKT/0O+rIyMpOT9P2vvyTadp5sOIx958JTmgD66XIay8k76xwMUeEuwmzULfna6zVJ3pkQQghREBKc3SJ3mQ2HViEVTHIxEEGv0/LoPdXE+uroDvVSZ69hqGiQSKSIiYELQL6chm3LNlAUUgP9TO19G43FgmXDpps+T+9xg6IseeRMVVW6BqduOd9sxkzemdQ7E0IIIVaWBGe3SKvV0GC3oOZUjnVNAPDY1iq0gWr0OTOhVJiAdQiAwb4YmWR+pMlYVQ3TpTSiZ89g3boNjV5/0+dp9AZ0rmJSSwzOhidjRBMZGpZZfHY+vhonXYMhkmnJOxNCCCFWigRnK2BjYzEA7T0BVFXFZjHw4KZq4gO1DEaHyVpjKIYs4xMuopNngCvbOAGQyWDfOX/h2fkYvN4lb+HUNZhfDLBSI2cAvup83lmn7LMphBBCrBgJzlZAXX0JJr2G8ESc0UQKgCd3VJMbq0avmjDrzYTtE4xPlhCZPIuqqhi8XhTddO6XToe5xbfo5+k93iWPnHUOhjAbtZSXFi3puoU0z+6zKVObQgghxEqR4GwFeCpsOFVIh1JcGA8DUOows3NNJcmhWkKpMEHbMMmkjsBEglRsAEWrxVBRCYBGp0PRLP5TGLxecrEo2Uhk0dd0DUxRX25HcwvFZ69nNuqoLbPJogAhhBBiBUlwtgJ0Oi0NLguocGI67wzgmZ01JAer0WEkas8fn5goITp5FpjOOwNyicSSAi29J19OIzUyvKj2yVSWvrHIiuabzVgjeWdCCCHEipLgbIWsaypBUaBnIEQ6lwOg0m3lnoYyssO1pI1xUuYYk6FKYsHzqGoWxwMPYd26DYDkVbsF3MxsrbNF5p11D4dQ1ZXNN5vhm6531iV5Z0IIIcSKkOBshdTUFmPRaUhMJrgcjs8ef9euWmID1WjQEraNMjpmIJ2Kkwh1Ym5uxvPRjwOQ7O1Z9LP0bk++DMci8846pxcDNBQgOJO8MyGEEGJlSXC2QryVdpxZyETSnB0JzR5vqnLQUl6KMlFHxDFOLgNTYc/sqk2d3Y7W6bxmK6ebUXQ69CWlix456xyYwusyY7MYlvZSiyB5Z0IIIcTKkuBshej1WhpKLEB+K6erPbOrlkhPLTFbAJUcwXADsSk/uWwCAFN1DcnexQdnAHrv4lZs5ovPhgqSbzZjTY2TriHJOxNCCCFWggRnK8jXWIJGA2MjUYLJ9OzxTY0lVLpcKKliYtYgvcN6ULPEgm0AGGtqSQ0NkkunFv0svSdf60ydLmR7IxOhBFPRFI2VKz+lOcNX4ySTlbwzIYQQYiVIcLaCqmpcWBWF1GSCjlBs9riiKLxrVy3hS81E7RNEJlRyint2atNYXQO5HKmBwUU/y+D1kovHyYbDC7brHJgpPlu4kbPmKieKguSdCSGEECtAgrMVVDadd5ZNZDk1cG2gsmOth1JTKVFrGAWFoUgjyUgPmdQUxppa4MaLAsaDcfacHCCXuzJKNlNO42Z7bHYOTmHQaah0r1zx2euZjToaKuwcvTh6TR+FEEIIsXQSnK0gg1FH3XQF/vPdk9es2tRqNDy1o4ZA0E5Wk+ZMTz7fLDp5Fn1pKRqTad5FAe19Qf7sq8f4+o/9HGm7EojNlNNIjS5c66xrMERdmQ2dtrCf+olt1QxPxjjmHy3oc4QQQoifdBKcrbDm+mL0gDqV4tudw8QyV5Lk799UjilWT9Q+SWJUR8pURixwFkWjwVhdM2fkbN+ZIT7zrZMUmXR4iy28dKCb3HSOmb6kFDSaBUfO0pkcvSNhGioLN6U5Y5vPQ3mJhR9c1cf5BJNTDEYWVzxXCCGE+GkkwdkKq6x1YgNywRSRTIbvdF1J2jfqtTy5uYGQMYohaeFQQEs6MUYuE88HZ/19qLkcuZzKt9/s4Es/bKOl2skff3wrz95XwdBEjOP+MWC6nEapm9QC5TR6R8JksmpBis9eT6NRePfuOvrHopxsH79hu+f83+VvT/wTiUyy4H0SQggh7kYSnK2w8ioHFhQi8TSPuJ1cnIpyYORK/tmjW6uI5kwAXOpNEMuppBPjGGtqUJNJwgND/MPzZ3jlSC+PbKnkZ55y8IUL/8J/jH4ed1mGl/ZfNXrm8S44cnal+GzhR84Adqzz4HGaeenA5XlXkWZzWdoDncQycQ4NH1uRZ8YzCd66fPCmq1aFEEKIu4UEZyvMaNJT5swHX5WKjrXOIl7pH6c/ms8xKzLp2Vy7jpQhjnmqmKPJFOnE2OyigG9/8y3Odk3y3sdKiZUd4u9OfZ6J+CRajYbi5h76xyKcupQfmTJ4vaQWKKfRNThFsd2Iy2Ys/IuTz6t79t5aekcinOmcmHO+N9xPMpvCoNGzp/cdcmrulp/5cterfO7I17gU7LzlewkhhBB3AgnOCqCxxglA32iE99d7sep0PNc5TCKbzz97z441RMxhrKFSTiTShKND9GaLyKJgnhpg86ODvB7+Bu2BDt7T8BR/uvv3ebT6AXqTlyjxpHhpfzeqqqL3elGTSbJT89cX6xwobPHZ+exeX0apw8RLB7rnBI3tgXwA9XPN72Y8McmZ8Qu39KxQKsy+wUMAnBo7f0v3EkIIIe4UEpwVQGN9CVqgozeARaflQ41lBJNpvtc9iqqqFNtNmJxmtFk92oiDvYNtfOb5EwSsFjy6TvyRczxUdS+f3v37PF33GEatgUerH8CsM+Fq6aZnJMyZzgkMnpkVm3OnNoORJBOhBE23Id/sajqthnftqqVrMMSF7mu3dGoPdFJRVMZ9FTspMRXzRu/eW3rWG717yeSy1DurOTN2XqY2hRBC/ESQ4KwAKmqcmIG+4QgAdTYzj1eWcGYywrHxfB7YU7s2A1Aa8nIqMY7xnr2MurOUB1X+287f5YMtP4PNYJ29p0Vv4bHqBxlIdeHyJHjpQDd6jweA9Mjc1Y8zxWdvx0rN6923sRyXzciL+6/knqVzGTqnLuNzNaFRNDxSfT9dU91cnlratlUzIqkoewcOstXbyjMtjxBIBukN96/kawghhBCrQoKzArAUGXAadYxFkrPByYPlLprsZn7QO8ZIPMmG+iqS5ii2UDEhNUelzcnGTY9giKVwpbXz3vfh6vux6My4mrvpGgzRHlZAq513j82uwSm0GoVar3XOOTWTYeRrXyY5MLCyLz5Nr8uPnl3qn8I/vWtA91Qv6VyGZlcjALvLt2PWmXizb3mjZ3v63iGdTfN03WNsrdiIRtFwWqY2hRBC/ASQ4KxAKkuLyORUxqfyCwE0isIHG8owaDR8q2OYVDZHTWMxmpALd6gUo0ZPeUsrAMl5itECmHUmHq95iKF0Nw53lBcP9qF3u0nPM63ZORiixmtDr5sb6EXPnmZq79uEDh1YwTe+1gObynEUGXjpQDcA7YEOFBSanQ0AmHRG7q/YxcnRs0zEJ5d071g6zlv9B7jHvYHyIi82o5UmRz2nx86t9GsIIYQQt50EZwXSVOMC4GLHlZpfNr2On2/wMpZI8YPeMd79xHZcJWbKOjbTNxZgwqUHINl746m+h6ruw6ovwtncQ0f/FClb8ZyRs2wuR/dQ6Ib1zUKHDuaf09N9K6+4IINey9M7a2jrCXCpP4g/0Em1rRKL3nzVu9yLoijs6d+3pHu/1b+PRDbB03WPzR5rdW9gODbKSFR2KBBCCHF3k+CsQDaudQPQfl1SfLOjiAfLXRwbD9EWifPMBzaiU6C2fRt7hk+gKy0lsUBwZtIZeaL2YUYzvdjcYToTBtJjo6i5K2Up+kejpDI5GirnBmfZWJTo6VOgKCR6ewqaRP/wPZXYLHq+v7+D7lAvLdNTmjNcJidbPa0cGDxCPBO/wV2uFc8k2NO3j42l66iyVcweb3WvB+D0uExtCiGEuLtJcFYgbrcVk6LQNxqZc+7xyhJqrCa+1z1Kxqxn585hjEkLI/tBU1F5w2nNGQ9W7sZmsOJs6qEzYURNpcgErxS67RrMl9ZonKeMRvjYUdRMBvt995OLRMhMzq1HtlKMBi1P7ajh4kQXWTVLi6tpTpvHah4kmU2xf/DIou75Tv9BYpk4z1w1agb5QK/GViV5Z0IIIe56EpwViKIolBTpGb9qUcAMraLw4YYyNAo81zmMu9JK47perFNujikVpEdHyCUSN7y3QWvgqdpHGc/2Ey/Nf8Kr8846B0PYLXpKHaY514YPHcRQVo7jwYcBSPT0zGmzkh7ZXImxOACqQqOjbs75alslLc5G9vTtI5vLzr3BVZLZFG/07WVdsY9ae/Wc863u9XSHegkm56/7JoQQQtwNJDgroEq3lXhOJTAZm3POadTz/novA7EkBxL1rKnqRa0JMhb1MmhtJNnft+C976vYicNgJ+fLj5gN+Ltnz3UO5ovPKopyzTXpiXHi7X5su3ZjrKoGjaageWcAZqMOhzdMNuJgdCI1b5tHax4gmJzi5OiZBe+1b+AQkXSUZ+ofm/d8q3sDAGdk9EwIIcRdTIKzAmqudaEC5y+OzXt+ncvKbo+TY5EiunOV3PeAm3jRGBc9u+m/sPDUpkGr56m6R+kzj5NRNHSe7QAgEk8zMhmjcZ58s5mFAPZdu9EYDBjKK0gUODiLZ+KE1DG0Mffsys3rrS9Zg9fi5o2+vTfMgUtl07ze+zYtriYa5hmBAyizePBYSmVqUwghxF1NgrMCWtNYAsClnsAN2zxTXUK5Scue3E5K9FZirX0YM1H2XoTw1I2nNgHurdiBy+QiYteTGRuhezhE1/Rm59fnm6mqSvjgAczNLWhtdoa/+C/o3W6SPXO3WVpJHcHLqKhsKV/Dcf8Y/WNzc/A0iia/PVV4gI5g17z3OTB0hFAqPCfX7GqKotBauoH2YCex9NzRSiGEEOJuIMFZAXmLLWiA/nkWBczQaTT8QlMlOTR8b1jDgw334k29TS6b40fPnyWdytzwWr1Gx9N1jzJhUynJBXlpfzedA1MoCtSV265pm+ztITU8hG3XvUy+8kNCB/ejZjJkw2EygRsHj7eqPdCJTqPj57ZvxWjQ8oMbjJ7tKNuKVV/EG33vzDmXzmV4rectGh11s3XSbqTVvYGcmuPseNtKdF8IIYS47SQ4KyCdVkNxkYFAIk0sOn++FUCp2cijRj+DaRPhbC0xV5p1I28zORbljR9cXHBka1f5NpLOIhzJKCfbRzl0YZgqtxWTQXdNu9DBAyg6HaaGBgKv/DB/cHoj9mRv4RYFtAc6abDX4iqy8OiWSo62jTI0EZ3TzqDV80Dlbs6NtzESu3Ya+PDQMYLJKZ6pe3xOHt31au1VOAx2KakhhBDiriXBWYFVeazEgOH+hVcQrrflWKfrZf9oBFNNC+5IPxs2FXG5fZyj73Tf8DqdRkdNQyu6nIrHMcBYMDGn+KyazRI+coiiTa1M/uBFUBSM1dVkwuF8vbMC5Z1F0lH6I4OzJTSe2l6DXq/hhb1d5OYJOB+s2o1Wo+XNq0bPsrksr/bsodZezZri5ps+U6NoaHWv58KEn1T2xgGxEEIIcaeS4KzAmmqcpIHuywtPHerNbu5VD+E16elwrAMgkTjCmk1lHD/QwyuvtZNKz19qoqVpOwDlzk5ApeG6fLNY2wWyoRDG6hoix49R/MyzmFvWkB4bw1BWXrAVm5cC+fyxmeKz9iID79pVyzH/GP/84nnSmWvfx26wscO7mcNDx4mk8qNrR0ZOMpEI8EzdYzcdNZvR6t5AOpembfLSCr6NEEIIcXtIcFZg1d587ldH78L7R+pNbnRKlvdX6gg6q8hoNQS62tjxWA1Gh4nO4wP89y8c4tjVvUdTAAAgAElEQVTF0TnTnMay8vyv4Um27siypaX0mvOhgwfQWCyEjh5BV1qK66lnMJSVoSYT0ys2CzOt2R7oxKA1UGuvmj32nnvr+OAjjRxpG+Uzz50iHLt2dOuR6gdI59K8M3CInJrj1e43qbZWsKFk7aKf2+xswKIzy16bQggh7koSnBVYldsKwNBknFRygeR+Uz6gcjHJe+rLmCwuoXgyydGxk0xZ9WhQcAKf+945PvOtk9csMtA5nSgGAxVxI8Gic5iMVzY7zyUSRE4ex1BRSXpwAPcHP5wvozEd0GkddrJTwWt2GFgp7YEOmhz16DRX8t8UReGZnbV88n0b6B4K8xdfP87IVXXgKqxlrCv28fbAfg4PHWc0Ps7TSxg1A9BqtGwoXcu58babFrYVQggh7jQSnBWY02rAbNASQ2V4IHTDdjpjMSga0okxtpTY0FbW4w7keLV7L/6REBqTjjUuC7/4ZAt9oxH+9MtH+LdX/UTiaRSNBr3bQ2PazmB0mNd63pq9b+TkCdRUimRfH+Y1a7Fu2QqA3usFQNHnN1tP9Hav6HtPJUMMx0bn7Kc5Y/saD7/3C5uJJTL8xdePc6n/SnD4WM2DhFMRnmt/gYqiMjZN75u5FK3uDUQzMTqCl5f9DkIIIcRqKGhw5vP5Hvf5fJ/z+Xyf9vl8fzrPeZPP5/tHn8/3hz6f70s+n6/luvMen8834PP5frOQ/SwkRVGo9liJA0P9Nx6dUhQtemMJ6cQYiqLQvLYFUypLLjBOxjpCeZ2L4f4pdvk8/NV/3s0jmyvZc3KAP/zCQd480Y/W48UyFWeb9x5e7HqFU6NnAQgdOoBiMqGmknh+4aOzI1A6pwvFYEBNpUFRSK7w1OalQCfADYMzgKYqB3/y8a0UmfV85lunONKW34LK52qi0lpOJpfhqbpH0ShL/8d0bXELeo2O0+MytSmEEOLuUrDgzOfzWYDPA5/y+/2fBjb5fL7rK4j+FtDr9/v/Cvhb4ItXXa8B/gI4Vqg+3i7VHhsJBQZ7F5461JvcpOP5MhJFdXUAlE5o0Hl7uGdrJaoK3ZfGsZr1/OKTPj79yzuo9lj5t1fb+aekj46wwkebf456ey1fufAc3f0XiF04j5pI4HzkUYyVV3K/FI0Gg7eM9Pg4eq93xVds+gOdmHUmqm2VC7bzuCz88ce20lBu4/PfP8/LB/P9+NmmZ9lZtpUtnk3Ler5Ra2BtsY/TY+cLWmRXCCGEWGmFHDnbDfT4/f7k9O/3A89e1+ZZ4CCA3+8/C7T6fL6ZOhC/D/wrULgKqbdJpaeIjAp9gyGymdwN2+lMpWRSAXK5dD6QUhTKh61oHROcTA/hcJnp8l+pAVbtsfJff2Ezv/6+DSQVHd8qf4J/fuEcv7TmF7EbrOz7wb+CqqJYLJS892fnPE/vLSM9Moyptm7FR87aAx00ORsWNeplNev5nQ9vZtc6L8+/3cVXX7lIs6OJj6/70LJGzWa0utcTTE7RG+5f9j2EEEKI20138ybL5gHCV/0+NH3spm18Pt9WIOb3+w/7fL5PLvaBLpcFnU5784a3yO223bzRVTY2e+AVP5GcSiqRpabeMW87XbaG0DDYzHEs3kr6ystxDKdQVC1vDRzgXS0P0XV0AGuREbPFMHvdMx472+wxvvS332Uf97C+M8YfPvQbnP/2pwCo/uiHKKsvn/O8WEMN/SeOUfGup+g5fAiHPofBOX/flmIsOsF4YpJ3r31sST+rP/qVnXzjlYv8++vthOMZ/uAT27GY9Iu6dr7nPGLfwTcufodL0Utsa1y36H6IlbPUPyui8OSb3Jnku9x5VvObFDI4GwWufjP79LHFtPlNYNjn8/0BsBFw+Xy+qN/v//JCDwwECr+fotttY2wsfPOGV7Ho8nlecaDt7CBm6/wBRyqVX9k5OtRDUdJO1O7GM9rJGvu9XAyfZV92LWU5lWMHu1mz6dpgK2Nxcn/gDGMNrXz/7Q62WSuxR7JEzBq+YuziV0enrhmFCkzEyJhdkMuR0OQDvcGT5yjasLxpxKsdHDoDQIW+ask/q6e2VWHRa/j2G+f4zBdf5Nc+8AQazcIrNRf6Jk3OBg72nODx8keX1A9x65bzZ0UUlnyTO5N8lzvP7fomNwoACzmteRCo9fl8xunf3we87PP5iq+aunyZ/PQnPp9vI3Da7/eH/H7/b/n9/r/2+/1/DZwFXrtZYHYnMxt1lDpMZAxahhbYKUBvLAEU0on81OWQwYUzE+EDtQ/iMNqY1P6IjAnOnh+ec63W4UAxmnjAOEkolub8v30bgOR7H+PsZBvf6/zhbNvAeJR//9cjfGd/miNV7+Z0j8qkuYxoV/eKvG97oAOrvojyIu+yrn+gtYJfeyTAuxoPcal37rsuRat7PcOxUUai1/9/gRBCCHFnKlhw5vf7Y8Angb/3+Xx/Dpzx+/1vAH8A/Pp0s78jH8D9CfA7wH+6+h4+n+9XgE3AUz6f75lC9fV2qHJbSSj5bZxyufkT1BWNFt30ik2Ai8kiAOyTYX57yydxmoqYcvYw1jtF+/i1Eb2iKBg8Hqqn+qgpMaEf7EFjd7D7iY/yUNW9vNG7l/2DhwE4c6wfjUZhy45KtGqGC71ZTlY+zQsXrLz03GlOHuplbDi8rER6VVVpD3TS7Gpcdr5YLpfGrulGo4Gu7lvbI7O1NF+G4/SY7LUphBDi7lDIaU38fv9rwGvXHfu9q/4+DvzGAtd/CfhSwTp4G1V5ijjdOU5CVZgci1Lqtc7bTm92k46PEggnaUtaeAJI9vZSsmYtv7P1k3w29A2UYfj2/uN8/LGd1FjNV671ekn29vJI/Bi2bJzw9qcAeH/TexiLTfCc/wXsOGk/N0Lzei87H22m9OV/xFDTynhcx9B4hnDUxqG38tsumcw6Kmtd2F1mDAYter0WvWHmL13+V70Wg1GLTq/FbNEzFh8nmJzCt0AJjZuJB/2ouSSqCuloN9lcDq1meYGey+Sk1lbNqfFzPFn3yLL7JIQQQtwuBQ3OxBVVbiuqCgny9c5uGJyZSokHL3Khe5yYzgw2O8m+XgCcRge/+cgv8vULh9APB/j8+UP8+vrdVFlNABg8XiLHj1E2OkJa0fFKwss9qopWo+VXNnyEvzn+Ob7/9j5KMo1s2pYvq2HwlqGODVF7z2aKTn2bxt/9eRLoGegJ0t8dYKAnQJd/jMUMojWucWPenh/Ra3EuPziLTp5Gq3cQzzmpcY7Q1hNgQ33Jsu/X6l7Pi12vEExO4TTe+oIHIYQQopAkOLtNZrZxypp0DPVNsXFr1bzt9CY3oHK+axirWY+ltpbEdHAG4DDaWbeuiotndPSHXudz57L85qYHqLAY81X/VRVFUUg2refSSJxL/VO0VDsx68z86oZf4t/3HyXpnMLoyifZG8rKiJw4gam2DoBETzdF6zfQst5Ly/p8zpiqqmSzOdKp7LV/pbOkkvlfh/unaDs9hM42jsNox2NxL+vnlEmHSYS7sHvvo0hjwZDtYZ//8i0GZxt4sesVTo+d56Gqe5d9HyGEEOJ2kO2bbhNvsRmdVgNFBob6p26Yz6U3uVFVaOsJs7bWhammltTQILl0erbNmnUVKDkNtUkfU7HX+OzZtxiOJWcDLFSVhmcew2rW86NDV+qXhfuy6FImxjxd/MvZr5HKptF7y8hGwuhK8nt7JucpRqsoCjqdFrPFgN1ppsRjpazKQXV9MY1r3KzZWMYDTzbjLDYTP2uh2dG0pL0wrxabPAOoFBW3UuRsAiAS7CC9QH24mykr8uC1eGQjdCGEEHcFCc5uE61GQ0WJhTgqsUiKUDAxbzu9sYTxqIWpWI51dS6MNTWQzZIaHJhtU1blwGzRsz69mTp7HcHoG/zDmTeYKvFi2bgJrcOBY8MGHttaxenOCQbGo0B+IYDdaeJ9ux6iI3iZP97/5xzJ5oO3bDiEvtS97J0CtFoNa+4rQZ+w4BquWdY9VFUlOnkGQ1EVelMJOmMJOaWIasck5y9PLuueM1rd67kU7CKaLny5FSGEEOJWSHB2G1V5rATi+RGwob75t3JSNDp6QhUArKsrxlidD3SSvVdGwDQahfqWUvq7AvzGhl+i0dFEOLSHF773RWIXzmPfsQtFo+HRLZUYdBp+fLiX0aEQw/0hNmytZHvFFn5r839mXYmPA5l88v93D36NkMdK/Ba2cZqyjxB2jDJ+NkMsmlry9an4EOnEGEXFrfmfhaJQ5GykoSTIkbZbK6mxqXQ9OTVH24T/lu4jhBBCFJoEZ7dRldtKKJZGY1y43lnXhAuXJYXbaUbv9qAYTbOLAmY0+Nxk0jm63zzFh46m+bXvTvDIG4eJG3Tsrd/AtzqGeHlogrI6B/vPDfH919tRdBraHVq+e3mEC1M23tf0QX7/yf+GqlGwB5Oc0I+SHR/nK8e+zPkJPzl1aVOJ7YEO4s2DZDMqh9/uWvLPJzpxGhQtRc71s8cs9kbM+gxDw90k09kl33NGrb0Ki85MW+DSsu8hhBBC3A6yIOA2qnLn65aZSy0M9c0fnGVzObrGjKzzDqPmsigaLcbqapJ9fQDkEgmiZ06jHDuKPtuMf18nm+IXKb73Ad50BTloHsSjGcEat6OiYqyyousIkB6IkK610RVPosYgnM6g0yg8W+PG4PGyVVtFevtGkqe/TLDrIp8LteE0OthZtpV73BuoslUsWLcsp+ZoD3axuXID9ZpKTh/pZ8OWStxli9v+Qs1liQXOYXH40OhMs8dNtvr8z84xydnOCbatuX4HsEVKJnn2ZIZ31rehrlGXnRMnhBBCFJoEZ7dR5fSKTdWiZ2ogTCySxGI1XtOmezhMIg0NJUHSyQkMZg/G6hpCB/Yx8Nm/J3buLGo6jdbhoKKujkFjE7X/zyfQGXR8KJel7/hnmYzv51Otu7Hq88HgP52bRB2P86FHWiibDpa+0j5AWzDKu6pLMXjLSA0PU+37BJ18mV+0PUDfhloODh3l1Z49/LjnTcw6E42OeppdDbQ4G+cEa/2RQeKZOM2uRlrr62g/N8K+1y/xvo9uXlQgFA9dIpeNz05pztDqrehNHlo8UxxuG1l2cBY5fZqKswPU5SyM7B6lbJm7FwghhBCFJsHZbeS0GrCa9cykpA/1T9F4XbBxoTsAQH1xkExiHIPZg7mpiak9b5C43IXjwYexbt2GuakZ3eUAPf9xloG+KWobS9BqtHx0zQf4X8f+nhcuvczH1v08mUwWQyTNCConeyZ5Zjo4W+u08v2eUUYTKQxlZcTOn0NTVISuuIR0by+bn3k3mz0bmUqGuRTooD3YxaVgJ+cm2gAwaU00OfPBWrOzAf9kBwAtrkaMRh07H2rgrR/56WgbpXndzQOh6ORpNDorJvvc+mgmWz3V8aM8d3KUeDKD2bj0f2zj7RcBWHc5Qdu4X4IzIYQQdywJzm4jRVGochcxEUnh1WsY6psbnLV1T1LtKaLIkJndxsm2fSem2nr0Hg/KVZXyq2pdGIxaui6OUduYrwNWZavg8ZqHeLVnD9vLNkO/lVQig8lj5bWjfTy+tRq9TsNaZxHf74G2QJTN3nLUTIbMxASm2joSVy0+cBhtbCvbzLayzQAEk1N0BLrmBGsAXotntsirb2MZ504McHBPJ3VNpegN2hv+XLLpKPGpS9g8O1DmmTo12RoIjx2m3BbkVMc4u9eXLfVHT9zvR2M2Y4vF6Th9FGofXPI9hBBCiNtBFgTcZpVuKwMTUTzltjl5Z8l0lo6BKdbXlaAzuGaDM0WjwVBWdk1gBqDVaahrKuXypXGy2SvJ+8/UPY7HXMo3257n9NE+it1FPPFwPcFIikMX8qse7QYdVUVG2oJR9GX5YCc1Moyxtpb0yAjZ2PwlJ5xGB9vKNvORNe/nT3f9Hn9535/wy+s/wgOVu3l3w5Oz7TQahfufaCYaTnHyUO+895oRC5wDcnOmNGcYrbWgaFhXHuHIhZEF7zWfzNQUqeEhXE8+TcZswHa6g2xu+YsLxM2NfusbjL2zf7W7IYQQdyUJzm6zKncRyVQWq7uI8dEIyURm9tyl/iCZrMraOhd6k3s2OFtIg89NMpFhsPdKaQ6DVs9H1ryf+BhMjsXYuK2SDfUlVHusvHK4l9x0Adw1Tit90QTJknw1/9Tw8Gwh26tLdyzEYbSzzXsPH/b9LFs8m645V17loGmdh1NH+ggF4ze8R2TyDHpzGQbz/FONGq0BY1E1a70hzl2eJBJPz9vuRuKX8uUzLOvWo27eQF1fnK6hi0u6h1i8eGcHwTdeo+erX0PNShAshBBLJcHZbVblyS8KyJn1AAwPXBk9a+sOoNUotFQ58xugJydQ1YX/41Zd70Kn19DlvzaQa3Y10jK1hYwuhbk6g6IoPL2zhqGJGGc6JgBY58wvGLiU1aAxm0mNDGGsqQUWH5zdzO6HG1CAg3vmL62Rio+Sjg/NGTXLBINETp2c3UnBZKunSBfAqE1xov3mQevVYn4/itGIqbaOykeeQZeDkX1vLut9xM0FXnsVFIXk2DjRM6dWuztCiHm0Bzr4QderN9ytRqwuCc5us8rSfEAUzaloNMo19c4udAdoqnRgNGjze2yqOTLJwIL30+m11DWVcLl9nFzuyh+yUDBOZshArGyY5zq+SzaXZfsaDyV2I68czgdeXrMBl0HHxWAMvbeM9PAIOocDncu17J0Crme1m9i8u4Yu/xgDPXPfJTp5GtBQ5Noweywbi9H/N/+bwX/8O4a+8E/kEnFMtgYA7qmOcbRtaVOb8XY/5sYmFJ0OZ30zQbcF44kLt/ReYn7p8TEix4/ifPxJDKWlBN98Y7W7JIS4jqqqfLv9+/yo+3UuTkrtxzuRBGe3mcmgw+00MTQZo9Rrnc07C8dS9I6EWVvnAkBvyu91udipzXgszfBVgd654wNoNAoP399Kf2SQN/r2otNqeHJ7De39U3QMTKEoCmtdVjpCMZSKClIjQwAYa+tI9qzMyBnAPTuqsdmN7H+9g1zuSm6cquaITp7F7GhGO132Q81mGfrC50iNjuB46BEix4/S+xf/EzUIitbI5toYF3oChBa5A0E2HCY10I+5xTd7LLllHY6JOMGu9hV7R5EXfON1UBRcTzxJ+TNPEWu7QHJwcLW7JYS4ysXJSwxFR9AqWr7f9aMlFxwXhSfB2SqoclvpH4tQXu1kdChEOpXhYm8QlfyWTQA64+KDs5qGYnQ6DZ0X821TyQxtZ4Zo8LnZWdfKPe4N/PDya4zGxnigtZwik45XDueT9Nc6i8ioKoPVjWQmJ8kl8xuop0aGySVunCe2FDq9lt2PNjIxFqXt9NDs8USok1wmcs2U5th/PEfs/Dk8H/kY3o99gqrf/q9kI2H6/vLP0WWcuM1jqKrKMf/oop4d78gHYBbfmtljZfc9SkYDA3t+tCLvJ/Ky8ThT+/Zi27YDfXEJ3iceQ9HpCO55fbW7JoS4yht9e7EbbHzI9z76wgOcGju32l0S15HgbBVUua2MTMapqHOSy6r0XQ7Q1j2JyaClvjxfh0yjNaA1OEnHbx6c6Q06qhuKudyeD1z854ZJJbNs2l4FwAdbfgadRsc3Lz6PQa/hkS1VnGwfY2giSp3VjEmr4bIzX9IjPTqSzztTVRK9C6+yXIoGn5uKagdH9l4mmcgn9Ecnz6DRmjHbmwEIvr2H4Ouv4Xz8SZwPPQyAZe06av7b/8BYWUls73nIhlhbAUfaFhecxfx+FL0eY139lb6U+bhcY0Y5eY5ceul7gIr5hfbtJReP43ryKQD0Dge2HTsJHdh/w9W/4s6TyWU4PnJKRlN+Qg1GhmmbbOehqnvZXb6d8iIvL3W9IivY7zASnK2CKo+VnKqimnQYTTq6L41zoTvAmhoX2qvKZeRXbI4v6p4NPjfRSIrh/inOHhvAU2HDW2EH8uUvfrbxWS4Fuzg4dJTHtlaBAocvjKDVKPgcRXQqRnKKsqwVm4uhKAr3Pd5MMpHh0FtdZNNxYlMXsbg2oGi0xNouMPrNf8OyYRPuD37ommv1xcVU/94fYqm8B4B3p99h8PIQk6HETZ8bb/djamxCo9fPHtNqtIRbm9El0kRPnlyxd/xppmazBN54DXNzC6arAmHno4+jJpOEDkpZjbvFydGzfOn8Nzk+cnq1uyIKYE/fPvQaPfdX7EKjaHhPw9OMxsY5NHxstbsmriLB2SqY2WNzcCJGTWMx/kvjjAbjs/lmM/SmUtLJcdRF/B9sXVMJGq3CO69dYioQZ9O2qmvO767YTrOzgRc6XgZdgroyG23TCfprXUXEVBjzVpIaHkLndKJ1OFdsUcCMUq+VjVuruHBqiD0vnyCXzVJU0kpqeJjBf/osBq+X8l/9NRTt3IK1ik5H2Qd+GUU1YXIl+ETfDzj71tEFn5eNRUn29WK5Kt9shrd1OyGLhvG9smpzJUROniAzPo7zifyo2UggRiSexlRXj6mhgeCbb6DmZCTmbtAb7gfgzb53ZCXfT5hwKsKRkRPsLN+K1ZD/79Cm0nXU22v44eXXSWeXVqZIFI4EZ6vA4zKj02roH4tQ11TKWDJf62wm32xGfsVm9qYrNgEMRh3VdcVMjEYpshlo8LmvOa9RNPzCmveTzmX4dvv3WVtbTNdgiEQqQ4vdglaBfl8rqZF8kVpTbe2KLgqYce9jjWzeVcOli2mOn95CNlHEwD/8H9AoVPyX30JrsdzwWkVRsJSuRdfgBIMB70tfJvD6jZeCxy9dAlW9ZjHAjLUlLVxoMJHy+0lPTKzY+/20Crz2Y/RuN9Z7NtPeF+S/f/EIX3oxn8fifORx0iPDxNpkhezdoC88gIJCb7ifrqmV/3eAWD17Bw6SyWV4tOr+2WOKovDexmcIJqfYO3BwFXsnribB2SrQajRUlhbRPxalpqGYMGDRa6kouTYw0ZvyAdZiFgUANPjyiwjWb65Eq537ab0WN++qe5xTY2cxlo6Szam0901h0mmpt1noq2kkNZwPzoy1daSGBsklk7fwpnMpisLWXQ42rmtnbMzKC/+8n3AgSsWv/xcM7ptvam6y1aOqKSIf+hAdlkrGnvsm7X/zt+TSc/+PL95+EUWnw9Qwd79Or8VD/xoPigqhA/tW5N1+WsU7O0h0duB8/EkGxmP83XfOkM7kONeZD3qt27ajtdkJ7vnJLauRSybp/as/J3Ly+Gp35Zbk1Bx94UF2lG3BojOzp++d1e6SWCHpbJq9/QfYULIGb9G1/65tcTWytriFH/e8STxz83QRUXgSnK2SKncR/WMRdAYtEQ3YlXzgcrWllNMAaFrnYedD9WzcWnnDNo/XPESltZwDwdfRGTJcnJnadBYRtNgYjydRVRXT9KKAZN/KLQqYEZ08Q031CLs9Q0RzOk40vZ+ovWJR15qs+XymlqoE3y17mPFtjzH+zn6Gv/gvc6bNYn4/pvoGNAbDnPsoikJ1zToGykxM7X9HptxuQeC1V9GYzWQ2bONvvn0Ko17D41urGJqIEowk0ej1OB56iOjpU6THllZA+G4ROnyQRGfHXV/XbTw+QSKboMlZz30VOzk1do6J+ORqd0usgKMjJ4mkozxaPf++wu9teJpoOsYbvXtvc8/EfCQ4WyWVbitTkRT+ngDJnIo5lSMwce2KNo3WiFbvWPSiAJ1Oy5bdtRiMN97PXqvR8tE1HyCcilDS3MeFnvy/eNdO7xbQU1ZDNhTCOL0oILGCiwIgX/wwOnkGbdqBef+PebQmjNZk5HvfOElP582nF7X6IvTmMjTpPhorHfzY4KP2Ex8jcuwIY899c3aKM5eIk+ztmXdKc8aa4mbONhjIjI8Tb/ev2Dv+NJkpOmu+90H+v+/7Sadz/PaH7mHX9Ob0HdO19xwPPgKKQvCtn7wcP1VVCb7+GgCxi21kwqFV7tHy9YUHAKi2VfJQ1b0oisLb/QdWuVfiVqmq+v+zd9bhcRxm/v/MMoOkFTN4JLMtmRnC0FCTS1NuU7j22ivd73pX7t312rRNubm2aUppkzRMdmLHzCDLsmxpLWaGZd75/SGTLFrJkqHR53n2iTM78M7uauadF74vO5r3kmZIYZZ1eCYBINOUzqLE+exo3oMr6L7KFs5wOTPO2TUiPXHQGXr7aDMAJqChZrgTptQkxBw5i5UsUwZLkxfj1tfQ3NeD2xfColaSJERpyppFsLMDhdWK3Ggi0NAwpccOuBuIhBz4dlWjX7CQvPfdy30fWIwlTseW509RUdo67j40xhwCnhaWFcXR2uWmPbMYz8q7OXO0kYN/fJtDu2rZ8WIZ5Ylr2dOTzLNPHuVPvzjAUz/dT3eH68J+CuMKqElXE1ErceybeVqcDOdFZ//mSqLP6edzD8wn3WYgM8mASinnbPPgzFdlXByGRYtx7N0z5anya42vqpJgWyuWzTeDJOEuLb3WJk2aZlcbckFOij4Jq8bCIts89rcdwT+T6rqhOS86uylj7bAMzaXclXMzoWiYtxr+8R6ibjQm5ZyJovixqTbk3UaGbXDG5snaXpLjdKQmGmmoHh45UmpshP2xdWxOhNtzbgIkFGm1F1ObZi1dyekMdHQiCALqrKwpj5w5W/YhBaMofGZSHv0kgkyG3qjmnkcWkpkXz963qznwTs2QUVSX4vUE6exK5vSZLLrL2liMwJa/lXGoK47KpFWc7FBz8nAzza1evCoLgkaDyaIhIzeOUChCZflFEVyjykCyJZWW/Djcx4/NaHFNkIjPx8De3bQkFlDVL/Cp98xhVoYFAIVcRmGWlepLplZYNm4m6vXgOnr4Wpk8LfRvfxu50UjC/Q+gTEzCfXzsLuLrmWZXK6mGZBSywej7how1+CN+DrXf2LV073bOi84WJy0Yc70kfSLLk0vY23qQXt/4jWgzTB+j5r9EURzNdRaAfODJabHoXYJJr8KgVeL2hZidbSVLq6L0QCM+bxCt7mKNlFJrQ5LChIMDKNVxY+xxYiRo41iVuow90u/TV7MAACAASURBVCFONDZSUpjInBQbuwZaOOsOkAposrLpO/MG0WBwxLqtieJ3NuH31xOt8pH+2a8g02gvvKdUKbj1vrkceKeGk0dbcDr8bLqrCJ8nSHuzg/YWB+3NAwz0DU4tkMlSSLAFCZo0uIHb1+SgVgjIX/kTQm0V8ngbgk6H9T23IpcJyOUyAv4wtVXdrN6cj+ycnlxhXAGHM1rIOh3CdfQwlnUbrvg83y049u5G8vvZrsjjQ7eKLCoY2iFclBPHc9vP4guE0aoVaGeJqNLSGXhnO6ZVa8Z8gr9RCHZ14Sk/SdwddyFTqjAUl9D/1hYiLhdyo/FamzchJEmi2dXKwsSLc25zzJnkmLLY2bKPtekrkAkzyZYbjfOis3fl3nLB6R6L23M2c6SzlDcbtvGBogevgoUzjMRY35QL+PEIywXgc9NjzrsHQRBIt+mpahpgdnYcGSYNx/c30ljTS+H8lAvrXdqxOZXOGcBtOZvY13qECv8hYAmpeg16n5tquYb1MDgpIBol0NKMdoSOx4kgSRI9lc8jhcPEz70XZXzCsHVkMoHVNxVgsmrZv72GP/xsP+HQYMRQpVaQkm6icH4KKRlmJPcrEPVxNnAnf9xq5xdvVA6uF13Aw4oOkrs7OW3I5fVfXayXiRME8iSBloYBMnMHP8si6yzese5GSrbh3Ld3xjmLkWg4TOsbW+jSJLLqlqWsWTC8oWN2TjySBHVtTubkxCEIApaNm+n68x/w19agzS+4BpZPLQM7toFMhmX9RgCMJUvo3/IG7hOlmNeuu8bWTYw+/wCesJcM49CGog0Zq/n96aep6Klkvm3ONbJuhsmys3nvBdHZWLBqLKxNW8HO5n1szlxHij5pmi2cYSTGcs4+a7fbm0d6QxTF2mmy511FZpKRs80OCjMtaNUK9EYVDcOcs0EnJuzvAfPoxe2Twaw2ka9awFlDKWc6GpidnE2uq4/KuBRC0Sia7GwAAo2NV+ycuZqPElW5kTUbMN6/bMx155ekY7ZqqavqJiHZQGqGhTibfkikxdGRi6N9BytnmyjMXUVXj5tIRCISlRCq5Aiv/YXZgRaSlsURNCcQiUqUV/cQbhxg7956HjnnnOVZclDIlbTPTiB1RzmB1hbUaemjmTbDOfb+/W1SPA4Cq+7n9uVZI65TmGVFEKC6ZYA5OYOft2n5Cnqef5aBHdtveOcs4vPh3LcXY8lSFJbBdK46MwulzYbr+NEbzjlrPic+e7lzttA2F6vaws7mfTPO2Q3GoOjsCZanlFwQnY2FW7I2cqDtCK/XvcWj8z44jRbOMBqjxqjPO2aiKCaKovhHURSfFUVRL4ri/wEzrRxTwO3Ls/jKwwvRaZQIgkB2fgLN9X2EwxdnnMnkGuRKI8EYZmxOhjvyN0FEwcs1WwEoIERYoaSm340iLh650YivtvqKjhGNhhlofovoQIikDR+JKZ2VlRfPhjsKmVecTnyiYdg2GlMuAEFPA3PzEpiXG8/CggSKRRuZkhMEAYVGTcqWP7E6W8fmkgw+9+ACZCY1fe1O3jo0WEunkivJM2dzNDUMcjnOfTO6TuOxt7yNyP6d+HRmbvng7aN+nzqNksxE45C6M5lajWn1WlzHjxEeGLhaJk8LzgP7iPr9WDbddGGZIAgYipfgrTxDxH1jXSabXa3IBBmp+pQhy+UyOevSV3J2oJZmV9s1sm6GyTCS6GwsGFR6NmWupay7gkbniDGaGaaZWAoIHgP2AEG73e4BngB+MK1WvUsw6VWImRdHNmUXxBMORWltGHrTGmwKmB7nLC85AVlPPq3BOuocjeRaDCiDAU539g0q8hfNwXv69BXpgPUefxF0EnrFPFTxtvE3iAGVNhmZXIPfVT/sPd9ZO+qsbNK/8GWiXi+tP/kREY8HhVzGHbeIKBB4e1ctbx0Z1HArjCugIdqDet48nIcOIIXDU2LjPyJlNT1se3Ev6f5u0u+6A/kIo7YupSDdTG2bg3Dk4u/Hsn4jRCI49uyaZmunDykaZWDHdjS5eWhzc4e8ZyxZCtEo7rIbq2uzyd1Ksi4RlVw57L1VqUtRyZTsap4RbL5RGEt0NhY2ZqzBoNTzSu2WabBuhvGIxTlrtdvtT3IuWma3208AN/Yj73VKWqYVpUo+TFJDqbGdm7E59XPuZIJAoW4RhNW8WrsFTVISac212D0BopKEfu48Ii4ngZbJPT2FHL14Q2egF+JX3j9ldguCDLUxB7+rbsjnEg0F8dfVopslosnMIvUznyPY2UHbL35KNBgkM8eKVqckz6jh2R01bDncSGHcYHqtd14mEZcLd/nMwOfLiUoSbx9t5lcvVbDWfxZBq8W6ZmQxy0spyLAQDEVp7roYRVIlJaGbO5+B3TtvWEfYU1FOqLMTy+abhr2nzspCkZCA69iN07UpSRLNztZhKc3z6JQ6lqcs4VjnCRwB14jrzHB9MZ7o7HhoFBpuzd6Evb+Gqr4ry57MMHFicc7iz/1XAhBFUQ9cWQHSDCMiV8jIyImjoaZ3iMOh1CYiRUMEPNMTXp6bnUiwNZfqgTrqtV4yG87iQUarJ4BuzmCNibfi1KT23XngjwhaGXG5dyEbJ8oyUTTGXCIhJwHvxaiiv64OKRy+ID6rK5pNysc+ga+mmvbfPoEQjZJXmIjCG2LJrAT+vrOW8lMhDEo9p+L9yC0WnDOaZ0Poc/r50TNlPPNONUuS5GT21mFZtwGZRjPutvlpZgCqm4c+z1k2biLicOAuvTElGga2b0NhtWJcXDLsPUEQMN5gqU1H0Ikr5CbTOHq95fqMVYSlCPtm5i9e90iSxDvjiM7Gwuq05VjVFl6t3TotwYEZRicW52y7KIoVwE2iKL4B1AHPTK9Z716yC+LxuoNDxFJ1ljnIlUb6W96acr0zgNlZViJdGegEI6+37SajrxNBkjgz4EZhtqDOyMAzCefMdeYYkQQncpcJQ+6iKbdbaxxMJzl7Lz7V+c7aQRDQFsy6sMy4dBm2h96H50Qpjd/+Bhl6L5GIxPp8G8tmJ/HinnoMkRTsA7WYVqzCc6qc8MCMxg/AoTMdfOPJI9S1OfnwbYW8R90y2J24cXNM21uNamwWzZC6MwD93HkobYk35LzNQFsr3jOnMa/fiKAYuafKWLIEIhHcZSeusnWT49LJAKORpLMxN76Iva2HCEWGz7Kd4fqhsu8sHTGIzo6HUqbg5qz1NLqa6fB2TaGFM4zHuM6Z3W7/O3Af8BNgC7DWbrc/N92GvVvJyotHEKC++mJqUyZXYUm9iZCvHU/v1F/sbRYt8UYtFs9cmlwttOUZSBnopnLAA4Buzjx8tTVE/b6Y9xkNBem1vwKCgG3xI1NuM4BCbUWusgxxzrz2KtTp6cj1QzuTrJtvIvVz/4oUDhF46nF0siA1p1r5+J1FLJ+TRFONBkfQRWBxEUgSvW+8Ni023yh4/CGeeKWC37x6hpQEHd/+6BJWF8bj3LsbY8kSlHGxy7oUpFuobhkY8uQtyGRYNmzCV312yoWOp5uBd7YhKJVY1q4fdR11dg6K+PgbJrXZ5GpFQCDNkDLmehsyVuMKuTnWWXaVLJthMuxo3huT6GwsiNZ8AOodUz9neYbRGdc5E0XxKaDWbrf/0m63/8Jut88MIZxGNFolKenmYdMCdNY5qA2ZDLTtIBKO3UmKBUEQKMqKo73GSpLOxr7sMOl1lXT5gvT6g+jnzoNIBG9VVcz77Hn7OYQsBVqViMowNU0AI6E15uLqr0WKRpDCYfx1tWhnFY64rmH+QrK+898k3HMfif3VtDY56XjtTT52cwGLUga3eaGxGstNt+DYuQP3iRsz5XalnGno4xtPHuG4vZt71+by748sJtGqw1tVSdTvx7RyYp1fBelmnN4Qnf1Df7emVasRVKobKnoWcbtxHjyAcdmKMUVmL6Y2TxPxeK6ihZOj2dVKos6GRqEecz3Rmk+qPpmdLftm0lzXKedFZ9elr4xJdHY8bLoEdAotDc4b6yHqRieWtGYe8KQoit8TRXFqhbZmGJHsggT6uj04By7ezARBwJp+G9GIH0f7zik/ZlG2Fa8/yvK4tfQog/g9pwGoHPCgzS9AUKvxnI4ttelvacYTPY0QkZEw+54pt/VStJZComE/3XV/w1trRwoGxxx2LlOqiL/zbhZ95D1Iggz77lM0ffvrfCBdjTpqorKvmv2JJagys+h46vcEe2IbOv+PQDAU4W/bq/nhM2WolXL+4wPF3LUyG/m5aQqek2UIag06cWTndzQK0gc1wC6vO5Pr9RiLl+A+fuyGaQxw7N2DFAxiHaER4HIMN1Bqs9nVSoZxuJDw5QiCwIaMNbS62znbPyN3eS2JSlEGAg6q+2s50HaEV2q38LtTf+bX5U9NSHR2PGSCjGxz5kzk7CoTi1v9iN1ubxZFMR34yDkHbZvdbv/jNNv2riUrP54DO2ppqOllfsnFAl2VNgmDbQnu7qMY4heh0o2dgpgIRVmDkh7hviTS5FbKCnpIlEWoHPCwOtmKTizEW1Ex7n6kaJSuLX9AXqLFnLAOmWL8ovErQWvKJ2vOe2k8/QLek4NBXd0Yztl5kgrSsCa00R+3hpym12n/+eP8U34yrxRFee1II3tZxEd8b7D3W9/nr2m3gEyGTBAQhMEblCAMdrresyaXm5dkTOs5Xg0aO1z89vUztPV42FSczgPr81ArLzZwSJKEu7wM/dy5o9ZZjUZKvA6DVkl1i2PYJAFDcQnOg/vxVlUORmivY6RIhIGd29EWFqFOH/871+TkooiLx338KOZVE4s2Xk1cQTcDAceYzQCXsiRpIa/UvsnOlr2IcfnTbN0MMPj3V9FbSfVAHT3eXrp9g69Q9GLtn0yQkaCNI0WfxD15t09IdHY8ckyZvNm7HV/Yh1ahHX+DGa6YWK6y8UAzYAKswOZzy2acs2nCEqfDGq+jobpniHMGYElej7e/gv6WrSQWfHjK5hNaDGpS4nVUNQ5wx6J1/CbyMhm+kzRGF+MNR9DNnYen/CTBzk5USaOP8xjYvZNobgBF1IwpbdWU2DYeCWlL8fpVtL72Y4R4DRG5BzljzzUUBIGCokSO7G0g/otfI3x4D9JrL/FIfYjehVUMzL2VngYZGbtf5KP6RjoXbkCSJCSJC/+tqO9jy6FGNi5OQyG/8pmDTm+QfmeAzKThorvTRUeflzcPNnLwdAcGnZIvPriAubnxw9YLNDUSGRhAP3/hhI8hCAL5aWaqW4Yr8OjmzEFQa3CXHrvunTP3iVLCfX0kPvz+mNYfTG2W0L9jOxGvB7lu6m6WU0kszQCXopQrWZO2gq0N79Dl7SZRN31lCzNAj6+PZ+0vcabPjkKmIEEbj00bT2FcATZtAjZdPDZtAla1Gblsajviz5NjzkJCotHZckF6aIbpJRbn7DeiKEaBROApYMloY51mmDqyCxIoO9xEwB9CrbkoCilTaLCkbqKv6TW8/afQx82fsmPOzopj76k2PvueFaSVPke97RRK1TzsAx7mzJlLN+A9fWpU5yw80E9/xRsoVluwZt+BME0XipHQ6LOROkPIRROd1X8gIft+tOaxLyL5sweds9rqPhbddjvKkkXsfuLbzDp+jLn5BVg/cDcdkW7Yv49FN61AVzR7yPZiTQ8/fb6csuoeSgonLvJ4Ob997Qyn6/tItxnYsDiN5bOT0KqvvGZkJJo6XbxxsJFjVV0oFTI2LErj7tU5GLTDBUgBPOUnQRDQz5vc760gw0xZTQ8OTxCzXnVhuUypwrBgAe4TpSS+/0MIsut3sPbAO9tQJtjQL4jdQTWULKF/21t4TpZhWjF9DyuSJE3aoW8655ylG8ZPa55nTdoKtjXuZFfLfh6cNb2lC+9WItEI7zTt4c2G7cgEgfsL7mJd2sppc8DGItuUgYBAvaNxxjm7SsRyJZQDX7Pb7bl2u/27M47Z1SG7YHBodFNd37D39HELUelS6W/dTjQSmLJjFmVbCYaiNHT7WNugwicEESKVnOpzo0xMQmmz4Tk9emqz89m/IF9sRKlKRmcpmjK7YsHf2IgUCBK39C4U6ji6657B3TN2Qb/ZqiMxxUjNmcEWcaMtBfvt83BZNHjPDNbcJT78flRJybT/7v8IO51Dtp+XG0+8Sc2ustYrtr+1283p+j4Wz7Ihk8Gf37LzxV/u509v2YcIuF4pNS0OfvL3k3zrqaNU1Pdy+4osfvDplbzvplmjOmYA7pNlaHLzUJhMkzru+bqzmhGiZ4bFJURcrkEZlOsUf2MDvuqzWDZunpADqcnJRWGNm7auzYjbTevPHqfxW18nGpqcvEWzq5UEbTw6ZezpKrPaSHHSQg62H8MbmtoGpRmgztHA/x79Ka/UbWF2vMjXl32ZjRlrroljBqBVaEnWJ1LvnKk7u1rEcpV5xG63bxdF0Tr+qjNMFYkpJrQ65bCuTbikOSDsxtExdYKphZkWBGGwWy9Hm0xurwxvoIwqRx+ecATdnHl4q6pGLN52nyglINQh6OTEZY8+b3G68J0d7CQ1FC0gqeBDaEx59DW/wUDr9jG7yvJnJ9LT6aa/1wtAobWA+gQBb/VZpEgEmVpNyif/majHQ8fvfzdkjJVMJrB2YRpnGvrp7PNekf3bj7egVMj48G2FfPPDS/jPDxZTMsvG/lPtfPP3R/jvPx/jQEU7oUvmrsaKJElU1Pfy/adL+Z+/HKeuzcl9a3N57NMruX9dHqZLIlkjER7oJ9BQj37+5Nvys5KMKBWyYXpnAPp58xFUKlzHj016/9PNwPZtCGoNptVrJrSdIJNhKC7Be7qCiPfKfiOXE2hupum/v43ndAXB1hYcu3ZMaj+DzQCxpTQvZUPGGoKRINuadk3quDMMxxvy8teqF/jR8V/hC/v55LwP8Yl5H8SqsVxr08gxZdLgaJrp0r1KxOKcmURRbAC2iqKoE0VxtyiKi6fXrBlkMoGs/Hia6nqJRIYLz6r1aejjF+HqOkxoiuZu6jRKspONVDb2o0xOYUXpAKFoAH+ggvI+N/o5c5ECfnw1Q0d5BFpb6HjuD8gXWdCai1DrYyssnkp8Z+0ok5NRmC3I5Gpsuf+EIaEYZ9cBehteQIqO3A2Yfy4dWXOmE4DCuFm0JiqR/H4CzYNPieqMDGwPvQ9vRTn9294asv2a+SnIZQK7yyY/ENrtC3GgooMVc5IxaJUIgkBeqpmP3TmbH31mFQ9tzMftDfG71yv50i8P8NyOGurbnbR0u2npctN87tXU6brwauwYfB2t6uK7fzzGj589SdeAj4c3FfDYp1dy58psdJrRI2WX4ikvB8AwgXTe5SgVMnJSTCPWncnUavRz5uEuPX5FM1yni7DDgevoYcyrViHX6Sa8vbFkCVI4jOfk1GmDuY4eoel73yUaDJHxb19FN3sOvW+8NmEH0Bvy0uvvI9Mwcecsw5jKsuRi3mnaQ4dnRqD0SpAkiaMdJ/jOoR9ysP0oGzPW8LVlX2K+bc61Nu0COeYsPGEvXb53Twf7tSSWgpbPA5uAL9vtdq8oircCvwA+Nq2WzUB2fgJV5R20Nw+Qnj1c9NOSshHvQCX9LVux5b1/SqJVhVlW3j7SjFScREK3H9E4nzpvDaXdDpYVFoFcjqfiFLrCwbRlsLODlh8/hmK5AUEhx5oWm3L8eLh9ITr7vOSdG/8zFlIkgq/6LMYlyy4sEwQZ1vTbUaisDLRtJxJykZD7EHLF0Jur3qgmNdNCdWUXJauzyTZlMJBuAZx47VVosnMAMK/fgLfyND0vPo9ulkg4PpUtz1cQl6hnUV48+061c+/aHJSKiacddpe1EgpH2Vwy3Kk1aJXcsjSTm5dkUNnYz84Trbx9tJmtR2JPLyRatXz4tkJWzElGqZh4TZe7vAxFXDyqtCtzumdlmHnzYBOBYAS1aujnZCguxn3i+KBOXf71VdPiODcD1LJxfPmMkdDk5qGwWnEdP4ppxcqYt9vTcpCIFGFDxsVOTykapefF5+nf+iaavHxSP/1ZFBYLCfe/l6bvfov+rW+ScN8DMR+j2TX4UJFhmrhzBnBv/h2U95zh2bMv87mFj171iPk/Al3eHp7Y/XtOdVaRZcrgM+LHY5I1udpkmzIBqHc0kjTTBDLtxOKcNdjt9trzEmd2u90niuLM4POrQHqOFblCRkN174jOmVypx5Kynv6WrfgcVVNS5zU7K44th5poVlgxAfOFVOyRBprcLfSQjDYvH+/pCnjgQUK9PbT86AegAVm+FoOtBIX6yrPfPQM+fvhMGV0DPv7t4UUUZo29T09DI1GfD+1lMnyCIGBKWolCZaGn8SU6z/6epIIPIVcO7eQsmJ3I7q1n6el0Y0s2sjBvBX2mVlSVFcTdctuFfSV96KP4v/0N6n/7FKUZt+P1hujpcmOK0xLwhThW1c2KuckTOtdwJMqO0laKsqyk2wyjricIArOz45idHUe/K0Btq+Oy9y/868L/C4BaJUfMtFzQKpso0WAQ75nTmFatueIbb0G6hajUSF2bg6LLfs/6+QtBLsd9/Nh14ZxJ0Sihzg4CLS0M7NqBft58VMkT+27Pcz616di1k4jPh1w7fm1XOBrm1bqthKIhSpIWYlQZiLjdtP/2CbynKzCv20Diw49ckDXRZGVjXLac/u1vY9m4CYUltr/DZve5Ts1JRM4AjCoDd+fewrNnX6a06yTFSZOPrr4b8Ya8PHbs50iCxIOz7mFN2nJkwvXZFJOsT0Qj11DvbGJ5yvCZsjNMLbH8CtJEUUzj4uDz1cwMPr8qKJVy0rOtNFT3jJrnNySUoNQk0t/yNtFobAXBkiQRDjpH3Gd+uhmFXKDGO5jyKnSqUQgKwqFaynpc6OfOI9DchL+5mZYfPTaoGP/IChBkmBJjjwqMRluPh+89XYrbFyLBrOHJNyrxBcYWKHVUDBbvjzYZQGedTVL+BwgHHfS3vD3s/VzRhkwmUH0utbkqdSmtiUp81WeHpNnkej2m9z/KYe0SvA4vdz20gFvvm4PPFWCuIGPPBKJZ5yk9202/K8BNJbFrpVmNakoKE4e8isXzLxvFoo3Fs2wsmmVjdnbcpB0zAG9VJVIwiGHBlY+ByUs1I8CIdWdynQ797Dm4So9d9ZqWiMeD115F//ZtdPzh9zT+17ep+cwnafj6f9D+f78i6vcTd8ddV3QMY/G51GZ5bKnNyr6z+MI+wtEw+9uOEGgZrC/z2atI+uBHSPrAh4bpzcXfcx9SJELvq6/EbFeTswWr2nJFmlir05aTYUzjherX8Yf9k97Pu5G9rYfwhn18c/0XWJe+8rp1zOCcGK0pg3rHzKSAq0Esv4QfA7uAD4ui6GFQ3+yb02nUDBfJLojH5QzQ2zXyCBhBkGHNuI1IyIGzc/+o+5GkKH53I/2tb9Ne+UvaTv9kxPXVSjn5aWaqOrwIag2yzj7mJhQSjdRxoseBZvZgDUTrT39E2DFA8r98Cl+wFkPcQhSqyXXynaexw8X/Pl1KJCrx/x5ZzCfunkOfy88z71SPuZ3z9GmUtkSU1tGjBWpDJuak1XgHTuN31Q15T6NVkpETR01lN5IkkaCNJ5qTiTwQwtfUcGE9t9PP2wcdhNVGFjZvRVtfRs4sG/e+fzFqlRx9l4cjhyfmoG071kyiRcv8/OHaYqMhSdJVU9T3lJ9EUKvRTnAqwEjoNArSEw0j1p3BoCBtuLeXQOP0X/xD/f20/ern1P3bF6n9/Gdoeex/6X7madxlpcg0GszrN5L0kY+R+Y1vk/fTX1xxNE+Tl4/cYom5a/N4Zzk6hZYCSy5N+96m6X8G68vSv/LvmNeuG3EblS0Ry/qNOPbtIdgeWw1ks7uVzEk0A1yKTJDx0Kx7cQZdvFG/7Yr29W4iFA2zq2U/RXGzyI3LvNbmxESOOYs2dwf+8NSpBMwwMrEMPi8HioAlwDJAtNvtJ6fbsBkGyc4bvGk31IxehKkxZKGzzsXZuZ9woP/C8mgkiHegkt7Gl2k99SO6qv+Iq/soCpUVlS4NZ+c+IqHhTl9hlpXmTjfhpDSCHe0UJy0kFPXS52+mRWMEmYyIw0Hav/wrIW07SFFMSVcWNTvbPMAP/laKWinjq48sJiPRQH6amduXZ7G3vJ2y6pHPX4pGcZ6pHHNk03mMSStRqKz0NW9Fig7teiyYk4jHFaC9eTCqk1+8HoCGE3sBcLsCvPq3k/i8Qe583yJSchPp+tvTBNpaSUgycM8HFuFD4PjOOo7ta4gp+lPf7qS21cmmknRkgkDYMUCgbXxZjoHtb1P7pc8T7JreImxJkvCUl6GbPQeZcuyOzlgpSDdT0+YkMkLhv2HhYpDJcJdOf9dmz/PP4TlVjjZ/Fgn3v5e0z3+R3B8+Tt7jPyfjy/+PxIcexrxqDZrMrCk5d0Emw7i4BO+pcqL+saUnQpEQp3pOszB+Djeflli/q4NwcjxZX/8W2ryxFfnj7rwLmUpFz4svjGuTL+yny9szqU7Ny8kxZ7IydQm7WvbT6m6/4v29GzjaUYoz6GJz5sjO9vVIjjkTCYkm14yi1nQTUwzVbreH7Xb7abvdXmG328OiKP7vdBs2wyA6g5qkVNOIkhqXYkndjCDI6GvZgqvnGF21f6Xl1GP01P8dn+MsGlM+CdkPkD7vyyTmP0J81nuQoiEcHbuH7Wt2VhwS0BKXQ7Czg7nxRajlaiLhWg4cLgVJQqbWoMpJx91zHH3cvCuqNTtV18uPny3DrFfz1fcXkxR3sWj/7lU5pNsM/GFrFS5vcNi2wbZWwi53TM6ZTKbEmn4L4UAPru5DQ97Lzk9AoZRRXTno8MzPXYbDpKT/TPmgY/bXMryeIHc8OJ/kdAvJH38UmVpD+//9mmgwSGKCAXNRAv0yOLqvge2vniEcGlv2YtuxZjQqOavnpRANBGh57Pu0/OixMR07SZJw7Nk9KO3x2yemNYIWbGkm3Nd3RV2al1OQbiEQjIyo3SY3GNCJRbiOT29qfC4HxQAAIABJREFUM9DSjOvIISybbyblE58i7rY70M+bj8JindaCdsO5rk33ybGfbc80llJ4up+SZ46h2H2Y6kILW25NRWEZX05BYTRhvfV23CeO46utGXPd807UVDhnAHfn3YZWoeFZ+8szcgvjEJWibG/aQ7ohFdF644zAOt8UUDczZ3PaGdU5E0UxKopiZIRXFPjKVbTxXU92QTzdHS5cjtHrORQqE+bktfidNfQ3v0nY34sxoYTE/A+SNu/LJGTfi846G5lcDYBSk4AhoRh3z3FC/qFRqewUI2qVnAZFPOHeXhRRiQXxswkFa6lNSMawYRNRv4/+U1uQpDCmpMnPDTxa1cXPni8nOV7Hv79/MXGmobM4lQoZj941G48vxJ/fsg+76J8XxdUVxpZ205pnoTWLODr2EA5erH1SquRk5ydQV9VFJBJFLpMTzc1A3e7npb8cx+sJcudD80k+1z2qMFtI/tijBFtb6H7mrwBsKE6nJholcVYCNZXdvPx0GR7XyOH/fleAo5VdrJ6fglatoOvpPxPsaCfiGCDU1Tmq/YHmJoLtbejnL8BfX0fvqy/HdN6TwX1O+mGyUwFGoiB98POrbh5edwaDXZuhzg6CMUQQJ0vPSy8g02iIu/X2aTvGSGjzC5CbLbiPD09tRv1+nAf30/L4D9F879esK3WjVmhI/tij6B56gFp3M43O2KIV1ptuQW4y0fP8c2M6SRfHNk2N9I1Bqec9ebdR66jnSEfplOzzH5XTvVV0ervYnLnuhupw1St1JOlsNDhn6s6mm7EiZz+12+3yEV4y4PGrZeAMkF80qMVlr+gYcz1j4nLis+4hufBTpMz+LNb0W9AYsxFGKTI1J69FkCkZaBsqXqmQyxAzLNQENCBJBNvbyT3SSEQI4xc66Fq1AQBX2RF0ltkoNQmTOq89J9t44pUKclJN/NvDizDpRk4fZSQauGdNDsfs3Rw+M9RxcR8/hj4vF2V87DZY024BSaK/dWhzQP7sRPy+MC0Ng6nheHE5FYm34HX7hzhm59HPnYf11ttx7NmF6+gR8tPMpNn0VDh93Hr/XPp7Pbzwx+N0tQ+dLACw80Qr0ajE5uJ0nAf24zywD+OSpQD4qkevsXMdOghyOckf+TimNWvp2/IG3sozMZ/7RPCcLBtUuDdPnQBmnElDvEkzet3ZosUgCLinSZDWV1uD52QZ1ltvR66/urMuBZkMw+JiPKfKifr9g1G08pO0/+YJar/4OTqe/C2BjnZK5xg5/eH1ZH/zO5hWrGJ5SjFquYrdLQdiOo5MrSb+7nvwVZ8dU1ut2dWKWWXErB57Du1EWJGyhBxTJi/VvDGpyQHekI9QZHKTDm4ktjXuxqq2sDhx6h58rhY5pizqZ8Rop51RnTO73f6FMd778vSYM8NImCxa0rIsVJV3jPkHIQhy9HHzUWkTY3oakysNmJJW4nNU4XcPDVMXZVnp9kk45Traf/1LbAer0KOCaD0n/KBIiSfS5J501OytI038YUsVc7Lj+NJDC8cVRL1tWRZ5aSb+8vZZ+s9Fo0J9ffjraolfsXxCx1aoLZiS1+AbqMTnvJj6ycyJQ6VWUHOmC7crwOFqA0GFBo3+IImpI9/AEu65D01ePp1/eopQTzcbFqXR2OECg4r7PrAYQSbwytNlQ2oGQ+EIu8taWZCfgCXgoPPpP6GdJZL8sU8gMxjw1Zwd8VhSNIrzyCH0c+chNxpJ/KdHzo2W+g0Rl2tCn8F4hB0O/PV1E5ojGSsFGWaqWxwj/pYVZgva/IJpmRYgSRI9Lz6P3GjCumlymmVXirFkCVIoRNsTv6TuK1+g7WeP46k4hWnFKjL+33/g+MIH2Tdfy5w5F/+utAoty1NKON5ZhjMY2/dsXr0WZVIyPS/+fVRh3yZXy5SlNM8jE2Q8JN6LO+Thtbq3xt/gHFEpys7mffzn/v/iD2eemVKbrjfqHU3UOurZmHntxjFdCTnmTNwhDz2+4aMFZ5g6rt++3RmGUDg/BZfDT2vj1ErMGW3LkSsMDLRuG3KzLDqnLdaoSybU3UXiAw9Rkl6CP9RItWOAUKoSqSOAXDDT2OHiz2/Z+cWLp/jT1ipe2lPHO8dbOFLZSVVjP609HlzeIFFJQpIkXtpTy7M7aigRbXzugfmoleNfoGQygY/fMZtwNMpTb1YiSRLuE4OzMyfqnAGYElegUMfR37L1wvQAuUJGrphAfXUPr/61DJ8/wgL3QRK7GjnTO/LcR0GhIOUTnwJBoP3/fs1yMQG1Us6uE63EJxq4/0PFGMwaju5tuLDNoTOduLwhblqQSNsTv0JQKkl+9FMICgXa/IJRI2c+exWRgQFMy1YMfiZqNcmf+BRRj5uOPzw5pU+ynlODdVFXMrJpNArSLTg8QboHRo6sGIpLCLa2EOwcO1I8UbxnTuOzVw0WzWs0428wDWgLZqGIi8dXVYlWLCT1s58n78c/JekDH0JbMIvj3eWYVEbyLblDtluXtpKwFGFf66FR9jwUQaEg4b77Cba14Tywb9j7wUiQDk/XlDtnMFjDtjZ9BXtbD9Lkahl3/Q5PJz8+/muer34Vg8pAWfepmFO4NyLbm3ajVWhZmbL0WpsyKXLMWQDUz6Q2p5UZ5+wGIXdWAiq1nKpTU9sJJZOrMKduIOhtxTdQeWF5eqIBg1ZJa/pcEu5/kLhbbqMkaRFRKUww3EB9ShZEJf74q9f49h+Osv9UO519XkrPdvP6wQae3naWJ145zQ/+doKv/+4wn//ZPj7xg1186vE9vHagkVXzkvnke+agkMf+E0yK0/Hghnwq6vvYVdaG+/gxVKlp6NInfoMRZAqs6bcRDvTh7LqYLiqYnUQoGLlQY5Y5K530rjD7Ww+Pui9lfAJJH/oogYZ6PK+/xLLZSRyu7MTrD6HTq8gVE+jtchMKRZAkiW1HW0iz6Yk7/BbBlmaSP/roBRkQbX4Boc4Owo7hNVnOwwcR1Joh0SxNZhYJ978Xz8kyHDvfmfDnMBqekydRWONQZ0x9i/+FurMR9M4ADIuLAaY0tXk+aqaIj8e8dv2U7XeiCDIZWd/4NrmP/5zUT30Gw8JFF/TK/GE/p3srWZQ4b5jeVZI+kdnxIntbDxEeZRTZ5RgWl6DJyaX3lZeIBoc207S625GQpsU5A7gz5xYMSj3P2l8mKo0cuYtEI2xt2MH3jvyELm83H5r9T/zH0i+gV+j+YSU5urw9nOyuYE3acjQK9bU2Z1Kk6JNQy1XUzzQFTCuTcs5EURxf4nqGKUWhlFMwO4k6ew8B/9TWZOjjFqDUJDLQ9s4FiQmZIFCUZaVRk4T11kGV/BxTJmalmeDAGV6sLiAgKLD1NvDw5gJ+/NlVfPfjy/jJ59bw269s4CefW813P7aUrzy8iE+9Zw7v21zA4gXJKBI0GAssFBanTEocdcOiNOZkW3nt7VP4qs9iKJ68UrXWlIfWUoSzYx/hwGBEMjXTQsmqLO5+eAHJaWb0YhHqYJSOmlMMBEZ2JgCMxSWYN2yif9tbrNX1EwxFOXh6sD4uKcWEJEFPhwt70wAt3W7utAzg2LUT6y23YrgkOqUtmAUwbH5pNBTEffwYxsXFyNRDL+qWzTejmzuf7ueeIdBy5RGHaCiI50wF+vkLhqTHo6EgzT/8Pp6K8ivaf2qCHp1aMWrdmTIuHk1OLq7S41d0nEtxlx4j0NhA/N33IFPGNlN0upAbDCNOCTjVU0koGmZx4sjRyvXpq3EGXZzoOhXTcQRBIOGBBwn39zPwzvYh751vBsicomaAy9EptdybfwcNziYOtg9vgGh2tfKDYz/ntbqtzLPN4WvLv8TS5MVoFRo2Z63jdG8Vdf+AYqc7mvciF2SsT191rU2ZNDJBRpYpcyZyNs2Me3cURfGrIyz+3TTYMsM4FC1IIRKOUn1mavWtBEGGJXUT4WA/rp6L0YqiLCv9rgCt3R6OVHby2N9O0NMYT1jdgyJRAXmzmBPtZnNx+pCaMZlMwKRTkWYzUJRlZWlREovmJtFlU7JgaRoL5ibyTlsf7tDEZSAEQeAjtxdR4G4CSUK/qPiKzt2adjMIAv2tWy/YvmRNDokpg4K650dCpXYGONg2toCo7cGHUGdkEn3paWbHCew60YokSSSmDu6rs83FtmPNpMp9xO18GU1uLgn3XpyDOBBw0GKWEJTKYc6Zp/wkUZ8P4/IVw44rCALJH/04Mp2O9t88MSxKMlF8djtSIDCs3sxbUYGvqpK+N16/ov3LBIH8dPOokTMYjPoEGuoJ9V75kGUpGqX3pRdRpaRiWnH93hRLu8qxqM3knksbXU5RXAGJugR2tYwuNn05OrEQ/bz59G15nYj7onxJs6sVg1KPRT3+7NrJsjR5MXnmHF6p3YL7nJ5iKBLildot/ODYz3EGXTw674N8fO77Maku1nSuTVuJQannjbrh0zxuZFxBN4faj7I0eTFm9ZUJdl9rck2ZtLrbCUau7Fozw+jEErr4iCiK/wIgiqJNFMVXgJgm64qiuFkUxV+JovgtURSHTRUQRVEjiuIvRFH8qiiKvxdFcda55YmiKL5xbvnjoij+UhTFd30KNiHJQLxNT1X51NbiAGhM+agNOTg79hA9N4KlKHsw1fadPx7liVdO0+Pws9SkQBAk9AUDOApEwj3dY0o/AESiEs/VdSITBB7MSeLOzESC0Shvt4yt3TYacSYNa5Td9CmN7GodOWUSKwqVGXPyWnyOs/gcwwvxlXHxKG02CvtV7G87MmqKBkCmVJHyyX9GCoW4tWU3bd0uqlsc6PQqjGYNTY39lJ/t5IGe/QgCpHzi00NG8Pyt6gV+Uv5buhJU9JwpI3KJUK7r0CHkJtOFgfPDzsNkIvljnyDY1kr3c1dWUO0+WYagUg07luvoEQB81WcJtMWmQD8aBelm2nu9OEfQrgMuRESnIrXpPLifYEc78ffci3AFo6ymE1/Yx5neqhFTmueRCTLWpa+iwdk0oZRSwv3vJerz0bflolPd5Golw5g2rTIOgiDwkHgPvrCfV2u3UOdo4HtHf8rbjTtZmryYry/7Egttc4dtp1GouSlrPVX91dQM1E+bfVebPS0HCEXDbMpce61NuWKyzZlEpSiNzvFrCmeYHLFcqd4PlIui+CZQChw8t2xMRFHUAU8AX7Db7d8C5ouiuOmy1f4VaLLb7d9jUJ7jyXPLFcDLdrv9e+e6RlcDw0MG7zIEQaBwfgrdHS56RxDxnAheT3BIAbkgCFjTNhON+HB2DhYQJ1q0LMxPYF5uPF94cAFfe0DNzRltJGutyKP1HI8frFc5rzU2Gjvb+2j2+LknKxGLWkmiVsXKRAvHe5y0uCc+iy/i8aBqrcORUchL++ppGEGqYiIYbctRaBLoa9k64nxSrVhIYoeXfn//qI0B51ElJ5P0/g+iamtgvbOCXWWD6aOkVBNtLQ7W951A19tG0oc/ijLBdmE7X9hHVV81ojWf7iQdsrZOvrvne+xo3ovX0Yfn1EmMS5chyEdvntDPmYv15ltx7NpxoVliogyZCqC6KG0SDQRwnzyBftFikMtx7h0uXjwRCtIH5TlqR4meqRITUWdkXHHXZjQUoveVl1Fn52BYfP0Oay7vPkNYilA8SkrzPMuTi9HINexqGV7kPxrq9AxMK1Yy8M52At3dhKJh2jwd01ZvdilphhTWp69if9sRfnz814SiIT674ON8oOhBdErdqNutTVuBSWXk9Ql0fF7PBCNBdrceYF5CEcn6pGttzhWTYxqM7jY4Z+rOpotYnLM1wKNAGrAVOA3EohC5Ami02+3nVTj3A3dcts4dDDp72O32U8ACURRNdru9zW63/xZAFEUDYABmEtzArLlJyOQCleWTbwzo7XLz518e5EzZ0OiHSpeCzjoPZ/dhwkEHgiDwuQfm8y/3z2dujhV31wFUulSWpCzDFWynXStDSrDhrRi9BqbB5WNnWx+L443Mj7+YutiYFodeIefVpi6iE+wydJedgEiEkntvQqdW8PhfSwmMo8Y/FoJMTlz6bUSCAyPOG9WJhQg+P5nuwejZeJhWrMK0chVLu8voLD2JyxvEmqhHCkaY76zHvGEjxuIlQ7Y53VNFWIpwR87NbFr7CDIJcp0KXqh+jb8+/19I4TDyxePLWiTc9wDqzCw6/vB7Qn0Tb3UPtrYQ7u0d1qXpOVWOFAhg3bgZw6LFOA7uJxqafO1jTooJhVzG2VHqzmAwtemvrSE80D/qOuPh2LOLcF8vCffef12LfR7vOkmcxnpBgX00NAoNK1JLKO0qH7MG8nLi33MfAE1/fYZ2dwdRKXpVnDOAO3JuIseUxdr0lfzn0i9QFD9r3G1UchU3Z22geqCOs/1jTzq4ETjUfhxPyMumjBtnVNNYGFR6bNr4mSHo04hi/FX4X+Ax4CN2uz0kiuL7gR8B4/2FJQKXivI4zy2LZR0ngCiK/wR8GviB3W4fN35qtepQKKZfN8ZmmzrRxslQODeZmjNd3PXeBRM+X0mSePPvp4hGJertPay/eaiyvslwF6f3V+Lv20vOvIcvLO9tLyUc7Cdv9t0k6ZJ5rW4rROvpyylAXn6ceItmWKG1NxThhYpGEnQqPlKci+YyW98bjvBUeSM1gRCrMmIf/N1dcQK1LQFxzWI+n9DJf/3+ML9+5TRf/+gyNOpYftIjYJtPyL2Qga4DZOavQK27KGprWlFMx5O/ZV0khad7K5HrI8TpxhZmjfvcpzlWW8vtbXs5WbGUoGcwQuhOLWT9Pz86JCoFUFltx6IxsTR/DtEUH+2CwHv1C7hrUwk13/of+o1yftX6F9apV3KXuJkU4+V/Shcx/vuXKfviV+j905PM/c43x4y2XU7L7ioAMtevQn2JM91bXorSbCZzVQlmk4bTx44iqzmDbe1QnTuPO0D5sRYqTrRiMmtYtamA9KyRR3vNyrTQ0OEe9e9Jv3kdva+8BGdPY7vjtpjP4TwRn4/6N1/HNHcOWeuWX7fOmTvgoarvLHeIm0hMHL8W6V7NTexq3s+JgRM8OPeu2A5iMxK483baXn6VUNSFkCyxMGsWNsPVuJYZ+X7Kv094q3viNrOjZQ9bm99hZcHC6/b7G49oNMquI/vIj8tmRcH8Uc/jWt9XJkpRYj4nOytJSDDcsN/NeFzL7ySWO9n37Hb7N87/j91u/4soinExbNcFXHpmpnPLYl7Hbrc/I4ric8AOURSb7Xb7m2MdsL/fG4NZV4bNZqS7e2oFPydKjmjjzMl2jh1sIK9w9Jv0SNRWddNY20ucTU9zQz/1td0YhoxMUmBIWEpf+wFUpmJUuhQkSaK9ehtKTSJBMhF8ArnmLLp8tZTHz2VD4ADNB0vRFc0ecqznajvo9wX5RFE6rn4vl39qeSolmXoNf69sIVMhH+a8jUTE52PgxEnM6zfS0+Mmx6bniw8v5sd/K+U/f7WPz793AdpJOmjahA0MdJ2hpvwFbLkPX3LB0aBMsJHUEiBqifJ6xU5uy9k87v7SPvUZAt/5Fo5n/ogsGkFI2kS0ZAO9jgBwcaxTMBKitK2CpUmL6O0ZLJxWpaXTe7KCpEXLMLcMoL51M0tTNOyqP8g7tftYkryIDxQ9OHJ9ksqI7eFH6HzqSex/eob4O++O+TPoPHAYdVY2zqgSzv3Oo34/fceOY1q1hp4+L1JKNsoEG81vbIWiBUiSREtDP5Un26k/20M0KpGYYqSpvg/7z/aRmmlh8YpM0rOHzq7MTjLy1pEmWtoGRta601pQJafQvmc/iqUTFzvufeM1Qg4Hyf/8L/T0XFkZwHRyoO0IESlKkaEopmuLHC1z4gt56+weVttWo5TF9nvX33o3yYEgHVu28kCSmkiJn27Ltb2WjcdNGRt49uxL7LWXxhRxux450XWKTnc3d869ZdTf4fVwX5koKeoU9vgPY29uIl4bi0twY3G1vpPRHMBx05p2u/0boijmnyvul4uimGG3238WwzEPAlmiKJ7v+18FvCGKYpwoiucfD9/gXC2ZKIrzgJN2u90piuI6URSXnjt+lMGU5lBVxncx6dlWDCY1lRNsDAiHIhzcWUucTc/N9ww6UrVV3cPWMyetRibX0t+6HUmS8DmqCPt7MCWvvnBzLU5aiDvYQ1OSCUkuH1Z3VtbrpKzPxca0ODINIyuvyASBu7JseMMR3mmLLQXnKT+JFA5jvERCY31xBp+8ew41rU5+/FwZXv/khoErlEbMKevwO2vwO4emUrSzRCJ19RRa8sdtDDiPOiMD/4a7SHc2k+puQ6cR6HEM387eX00wEmShbd7F4xUU4KutxXnoAEgSKas3877C+/nOiq+yPn0VRzpKxxQkNa1cjXHpMnpffZm+N18fVSX+UsJOJ/662mGDzt0ny5CCwQvjpQSZDNOatfiqKjn+5nGe/vUhXn+2nNbGfuYVp/HQx5dw/4eK+fzXNrNyYx6Ofi+vP1vOC388Tm1V94Vax4J0M5GoRH3b6DWDhpISfPYqwq6J1RVG3G76t76JfsFCtHnX92Dp0q5yErTxE0ozbshYjSvkprRz7CHqlyIoFOR96lGObcwmqTdE03e/iffs2DWU15oVqUuwqi28Vv/WDTkuSJIktjftJkEbP2Lzw43MBTHamdTmtBCLlMaHgbeArwJy4PFzqc0xsdvtXgZTkj8TRfG/gHK73f4O8O/AP59b7acMOnBfA74EfOzccj/wFVEU/0MUxe8BAvDURE7sHxmZTECcm0xzXR9uZ+wF9SePNONy+Fm1KR9rvJ6EJMOIzplMocGUvJaAux6/swZHx14U6jh0louRscWJ8wejNsoWBlIz8Z6+WHfWFwjxSmM3WQYN61LGfqJK02sosZk42DlAp2/kIeGX4i49htxsRnPZDXdpURKfvmcODe0ufvRsGZ5JasEZbUuRybV4B4bOq9SKhUTdbtYo8ugPDFDZN/KIpcuZ8967KIufQ2nSArJmp9Pd4SIaHXqTKeuqQKvQUGC9+PyhzZ+FFPDj3L8XTU4uqqTBImKz2sj9BXcxy5rPq3Vv4QqO/CQuCAJJH/wwhsXF9Lz4PM3f/x+CXWNLsHhOlQ/Kk8wf6py5jh5GYbWizS8gEolSZ+/maH88UQR6d+zEHKfjpvfM5oOfWcnKTfnEJQzOrFSpFSxYmsEjn1zO+ttEgoEIb798mmd+e4Sq8nZyUgafGEfTO4PBujMkCc+JE2Pafjl9W98k6veTcM/9E9ruauMKurH311CcuGBCqSHRmk+yLpFdLfsm5LSEoxEOpwap++AmZBoNLT/8Pv1vb71uHR+lTMFt2ZtodDZzurdqWo8lSRLhaJhAJIg35MMVdDMQcNDr66PL2027p5MWVxtt52r2YqHW0UCDs4lNGWtG7cK9UUnVJ6OSKan/B2wK8J610/TMc9fUhlji4WuAAuCXdrs9CDwgiuIvgb+Mt6Hdbt8GbLts2b9d8m8f8JkRtjsMvDcG2961FM5P5viBRuynOihe9f/ZO+vwtu57/7+OmGXZlswMsmM7cThxoGmSpsxNU4ZRt26727qug9vuDu6wK9x166iwlVamJE0bbJjZSSwzM0qWxdLvD8VOHJMMSdz98noeP+0jH53zlWOf8/l+4P1OHvH4bquTQ3uqScmMJP60REZalpG9WyuwdTnR6vvb2WgjZ9Hdso+2qg/x+xyEJ97Qz0BdJ9NiNqRTbSujLCYZw74teDs7EfR63i4PZvRuT41GHMIDZ0VcJIXt3ayuauHL5qHH+/0uF/bjx9AVLBxUEmGm2cQ3bxbx/IfH+cO/j/D9O/LRKEcnOCoIYhTaVBzWMgKBQN9aVKf1zhKavWjlGnbW7SUnImu4UwEgk4rJe/grSMQCgU4nJw/X09FqJ8KkAYIq6cfbTpIbkY3krPJUrxitp6mJsDvuPmeNAqsyb+RX+57hw7JPuDf79kGvLVIoiXnoYWz5u2l+/VWqfv4ExlV3ol902aA/Y/uxI4jDwpAnndHZ8vX00FN4HO3iyyk8VM+hPdX0dLtRa2QkJGSS2lFF2m05/SRBzkUsEZE9LQZzXjTllhYO765myycWNDo5mWo5x0paua4gedA1yRMSkRqNdO3djVinQ56QiCQ8fNhAxtvZSefmjWjnzEWekDDkcZOBIy2F+AN+ZkaNziZLEASWJCzgTcsHVFirSNUnh/S+OmsDXr8XU+oUEh+/haaXX6Dl7TdxlJUS9cCXBxXHvdjMi5nFZ1VbWFOxnpyIrPPS37S5ZjsflK4NOejSy7RMM+aSb8wjPSxlSI/MjdWfo5GqmRczeSeFx4pYJCZJl/Af5xQQCARofv1VZCoFymWj73WdKEIJzhotFovffPrhdJrxiUtdYtz0mqGfOtbIjIKkEW9Ye7aWE/AHKFia1vdaWpaJvVsrKCtqIX9u/4eYIBKjj11KW+V7iKV61OF5556SWVH5nGp/m+q4XGYRlNQ4kJxNdbeT21OjMMhDC4zUUjHL4yJYXd1CYUc3eeGD1+DthceD5bVhXAHyMyL51i1T+dP7x/n9G4d59M58dCrZkMcPhkKXRk/nCTyOJmSqaACkkUYkERG4SkqYd8UsNtVso9PVFZKIZ69Paacq2BPZ1GDtC87Kuiqwe3oGlDyk4eGIlMqg8OzsgR580eooliUsZkP15yyInTPkw1kQBHTzClBmmml86QWaX/kn9iOHibr/S0j0Z9Ye8HqxFxaimzu33++S7dBBAl4vu2rVNFWXEpug57KrMklMDaenUE39H5+h++jhAdOngyESCaRnm0jLMlJd3s7h3dXoa7vosLs5UtLK9EzjgPcIgoB6+kw6139KvSWYORFpNCgSk5AnJaNISkKemIzUaOxbd9vajwn4fH0TipOZQ01HiVKZiFVHj/q9c6Jn8lHZp3xeszPk4KyiI+ggkaCNQ6xUEvONb9Gx/lNa33sHV20tsQ9/G3nchZniDBWxSMzVKct57dTbHGs9wbQJLg8ebDrCeyWoadCmAAAgAElEQVSryQ7PDAZaghixIEIkEiMWxEgEMWJR8DWxIMbhc1HYepLdDQfYVrcbtVTF1Mgc8o25mMMz+noAG+1NHG89xTXJy5GJR3cP+qKQrEtkU8023D4PMvHFdd6YKByWItx1tSR+++GRDz6PhBKcGc1m811AmNlsng2sAP7zuv++gGRNjWHT6lPUV3cSN8REHEBjbRclJ5qZUZCILuzMzlhvUGKM1lBW1DwgOANQhU3BFVmNQpeKIAzcGU4z5vJvy/s4Imw4VWpa9u5hiyyK/Agt+RGjU8CeY9Kzv6WLdTWtmPVqZIN4bnYfOoBIo0GZaR7kDGeYmhbBd26byh/fO8aTbxzm0Tuno1eHfnNU6IIBrNNW1hecQVBSw37sGAX33cGG6s/ZXX+Aq1POle4bGr1BiVwhoanOypRpsUAwcyIVSciO6P+ZAn4/AZ8PQSJBrBv8Z3lV8jL2Nx3mLcuHPDbr20Pu3iEophv/yA/o3LyR1vfeoep/Hsd03wNoT/tY9liKCLicfSVNn89PcWETtvc3IJeoEaITuH5xKnFJYX1BkDo3D0l4OF3btoYUnPUiCAJJaREkpUWwc3MpR/fV8u6mEvLSIgb1Wu0NItX501Hn5OKsqsJVXUXH+k/Bd9puTKlEnpSMPD6erm1b0S9cjMw0umGZ8eDxefjz0RfJCEvl6pTlIZWwulw2SjrLuSp52ZiyQXKxjILY2Wyp2UGHsxODYvgJYoDyjmrkYhmm09PIgiAQfuXVKJJTaPjb81T/6udE3f8gurmTS1ZyTtR01lduZm3FBvIip0xYibCko5xXTr5Fmj6Fh/LuRxpigDE/ZhZun5uTbRYOtxzncPNxdjfsRyFWkBuZxXRjHkdbTyAVSVgcXzAha52MpOiT8Ff7qbHVkRaWfLGXMyF0bFyPWKPFuHjR6eGti0Mov+E/BK4ClgOfAGbgv87noi4RGn1m6MMMBgQCAXZsLEGtkTFj3kANpbRsE80NNqydjgHfEwSB8ISrUekHD4aUEgV5Edl0u8sozJmF/2Qh2VUWbkgcmAEZCbEgcH2SiU63l62NA3Wt/B4P9mNH0eTPCEkaIiclnO+unEZLl4Pfv3GIDlvof2QSqRapwoTDWtbvdaU5C1+3DX2niyxDBrsaQhsM6EUQBEyxOpobTk9BBvwcbTnBlHAz8nN21s6yUgJuNwGvF0/rwL5ACCqp35pxPbXd9WwfZjig7/oiEYblK0h84mdIwsNpeP45Gl96AZ/Dgf3YUQSpFIU5m6Ljjbz5j33sWHMMva0Wzaw53HTvjAHTloJIhG7BInpOnhhyjSORlRuNAHi7nGw5PFA+MeD3Y921E0QiAoEAYZcvI/qBL5H005+T/qe/kvj4z4JB5px5BFwuuj7fgkgqJXwUE6oTwfG2U5R0lvNJ5Ub+cuxlejwjT44fbjlGgMCoS5pnc1lcAYFAgK21u0LqG6voqCFeEzsguFGZs0j66S9QJCXT+I+/0fT6qwS8YxusOR/0Zs/quhs40jK86HWoNNqb+NvxfxGhDOehqaEHZr3IxDLyTXk8mHMXv130U74x9UGmm/I41V7MPwpfZV/jIebFzEYr00zIeicjKfrgM+U/xWfT3dyM/egR9EuWDJA7utCEMq3ZYbFY7rNYLMbTX/cBk68x4f9Des3QyywtQ5qhW4430tLYzbzL05DKBiZK08zBQGqwwYBQmBWVj9Nr53heEq3GGGZvX4fEPrbx4xStkqnhGrY3dNB+zufpOXUiWOIbhdF5dpKBR27Pp93m4vdvHKJ9FMMTCl0aLns1/rO841SZwR4zh+UUC+Lm0u7sCHkwoJeoWB3tLXbcLi/Vtlo6XV2Dlmmse3bD6T4uZ0nJgO/3Mt2YR5Yhg9Xln2F1h/Zzl8fGkfiTJwi/7nqsu3dS9bPHsR7YR3vGAt5+9Shb1hYhk0tYmuVFCPiJWz54jxqAfmHQiqZrx7aQrn0u4UY1YeFKEhRSPt5RMWCQw7Z/L+66WtS5U+k5dhRH2ZkpWpFUiiI5mbDFS4i6934S//unpP/pr6Q8+QxSw9CZ5PPB3oaD6GU6VmXehKW9lN8deI767uGnqQ81HSNWHU3MOBTjI5ThTDPmsKH6cx7f9WtePvEGO+r20GRvHhCs+QN+Kjtrh5wKlYSFEf/9x4IuE1s2Uf+XP43bp3UimRWVT7TKxNqKDaPaFA1Gl8vG80dfQiKIeXjal1EP41YQClKRhNzIbO7JXslvFjzBnVkPEKacRYJu7rjOO9nRybREKML/Y/rOOjdvBJGIsCVLL/ZShg7OzGbz4qG+CE5ZXmISkDU1Gp/XT+mpgZN4bpeXPVvLiYrTkTFl8BKPLkyJKUZLWdHYzNRzIrJQiBVEKuqR3/MggttN06v/GvP019UJRkQCrK3pHyx2HzyISKkcoKU2EpkJYXx/VT7WHje/e+MQVntoDxulLg0CfpzdZ7z9JJGRSMIj6LEUMTVyClqZhk3VowtKomKD/XQtjTaOtpxAJIjIjezvYRnwerEd2Idm+gxEKhWO0qEDQEEQuD3zRjx+Dx+WDisD2P99EgmRN91Kwo/+G5dEzW7dZRxyJyMWi7jy5hxue2Am8qqTSI2mfgMC5yKNiECdm0fXju0EfKN3aRAEgbQsE2KXD7fTy5pdlX3fC3i9tH34AfKEBKK/8lUkhnAaX35h2IBBkEgueFO71W3jZLuFOdEzWBxfwHdnPITb5+bJA89xcAipi05XF+VdlcwYwa4pFO7Jvp1VmTeTpk+muKOMf1ve5xd7/8BPdv4vLxa+xrbaXdR3N9LU04LL6xpWskOQSDDefgemu+/Dfuwodc8+hc8xMKt+MRAJIq5JuYJGe9OoJETOxel18ddjL2Fzd/ONaQ8SOcEaXV1uP1ubFCCZzro6OyVd9gk9/2QjRZ/4H2Hj5HM4sO7YhnbWbCRhF3ZzNxjDZc7+DfyMoEPA6tP/7f3/4T1GLnHBMEZriTCqOXV04C794K4qHHYPC5enD9vTkpZloqWxm66O0d+EpWIp+aZc6m3FTM1KIfLmW7EfOYxt9y4gKLBaba1ld8MB3itZzXOH/8EbRe8NGbzpZRIujw3nVKed4tM3tYDXS/eRQ6in5Q87FTgU6XF6Hrk9n5ZOJ1uPhmbYLVcnIoikOK3lfa8JgoDKnIWj2IJYELMicQmWjlJKOsqHOVN/TDHB/rGmeitHWo6TGZY2YNduLzyO324PNvKnZ+AYJnMGEKU2sSxxMXsbD47aKFqRmkb51FtwKMNZfp2Z2780i1SzEV+3jZ6iU2hnzxmxH0q/+DJ8nZ1BKY4xkJZlhADMitOz8UAtzafFpLt2bsfT0kzEzbciVqmJuv9BPI2NtH384Ziuc7440HgYf8DP3Jhg/16qPpkfzf4O8dpYXjrxOh+Uru1nYg9BbbNgSXPquK+vlChYHD+fL+Xeza8XPM5P5/2Au8y3kmlIo7yrireKP+RX+57md/uD8pSh6KmFXb6U6K88hKOslNqnfo/PNjkEUqeb8ohVR7O2csOAn2ko+Pw+Xj7xOjW2er6UezdJuomd5rV7fLxcXIc/EODr2QmYFDLeKG2koefi9S6db1J0SXS6uuhwDi2J80XAunMHfqeTsGUrLvZSgOGDs19YLJalwB4g2WKxFFgslgIgCdh+QVZ3iREZygy9s72HY/trycqL7gsIhiItq7e0Obbs2eyo6Th9TnY17KdqWiyOBCO1r73Mkxt/xSNbH+d3B/7Ia6feZnvdbjpcneys38vW2l1Dnm9BVBgRcimrq1pw+fz0FFvw2+2jKmmeS1qcHnNCGLuON4SU1RNEEuSaZJy2c/vOzPhsNtwN9SyMm49epmXNKAQyFUopeoOSquoWmntaBy1p2vbuRqTRoM7JRZmegbuhfsSH41XJyzDIw3jL8sGoHlqnjtZTXdFJY2IxQryzLxDrPngA/H60s0cuy6jzpiHWh9G17fOQr3s2vaXNcAQkYhHvfl6G3+2mbfVHKNLSUecFs0vqnFx0CxfT8dk6HOWhB8Tnm72Nh0jUxvcrT+rlOr4z/SEWxc1nY/VW/nz0RbrdZzIoh5qOkqCJxaQafX/mcAiCQJTKyIK4uTyYcxf/W/ATfjbvh9ydtZIZpqnMS5hBtCq0QQnd3HnEfvPbuOtqqfn9b8bk1QpBzajaZ/6AvXBswfvZiAQR16ZcQXNPK3sbD43qvYFAgLeLP6SwrYhV5pvIixxdFn4k3D4/r5TU0+X2cl9GLAkaBfdnxqEQi/hXcR2drrF70U5mevvOyr/AYrQBv5/OzRtRpKWjTJ0cevdDBmcWi+Vvp//XZLFYOs56vRMI3QjxEuedXjP0swcDdm0uQywRMfeylBHfr9UriIrVjbnvLNOQhlam4e3iD/nHidd4O99PwO9j0c5Wrkpaypdz7+Gncx/l6cv+lyfmPkpORBYflK0dsidHIhJxU7KJDpeHt8sbsR08gCCXo8oZKOcxGgryomnqcFA+jCL92Sh1aXhd7XhcZx5KSnNv31kRMrGUFclLKe2swDIKc+aoWB0tDTYIwFRj/weE3+mg++gRtLPmIEgkfXpnZ/daDYZcLOO2zBuotzeyrW53SOuobmri8w1FdGtbaTaW9XMcsO3fhyw6Bll8/IjnESQS9AsWYj9+bEwP8N7SZku9lRXT4zhgaaH0gzX4OjuJvHVlv8yd8fY7kISF0fTPF8ZlvD5R1HU3UNtdz9zomQO+JxFJuMN8M3dnraSss4LfHfgjNbY62hwdVFirmTGOQYBQEQQBoyqCgtjZ3DdlFY8UfHXYqd5z0UzNJ+57j+LtaKfmd7/C3RS6K4mnrY36vz5P7e9/Q8+JQlrfe2dCxG6nGXNJ1MbxetE7PH3weXbV78fpHbmfdEPV5+yo38sViUtYFDex06j+QIC3yhuptTtZlRZNkjZYWtfLJNyfGYvLH+CfJfU4vKPP9k124jQxSEWSL3Rp0378GJ7mJgzLrrjYS+kjlGlNo9ls/p7ZbJ5hNpunm83mR4DRi/Jc4ryhUEpJyYik+EQjPq+f6vJ2qkrbmFmQhEojH/kEBLNnrU3ddLaP3p9UJIj4Wt593J11Gz+Y9S1+et1viFt1L+E1HSyskTLDNJUotQmRIEIQBO7JXolCLOefJ/+Nxz/4RFiaTsU1iUaK2m10HNiPOm/quKdnZplNyCQidhaG9oBRaE9Lapw1tSmNNCIxhNNjCdreLIidS5hcz5ry9SE/eKJidficAqnytAE6ad2HDhFwu9HNCz485MnJCBIJjpKRBw+mReYwJdzMmvL1dLmGD0D3Nxzi3fd24SfAnBWJFMTN4WhLIU6vC29nJ45iC5oQSpq96BYthkAA686xJdXTsowEApCqVWBSgmvLZ6hy81CdI5siVqkw3fsA7vp62td8PKZrTSR7Gg4gFsTMisof8piC2Nk8MvNh/AE/Tx38M8/sehWALN3EZm7OF6pMM/GP/oiAy03N736Nq2b4h7Df5aL1ow+ofPxH2I8dIeKGmzDecTeumhocE2AXJQgC38z/CjemXU23x87rRe/w453/yysn36Kko2zQv8P9jYf5qHwds6LyuSHtqnGv4WwCgQCrq1o41WnnukQjOYb+05nRKjl3p8fQ5nTzemkD3hCs1L5ISEQSErXxX2gbp86NG5AYDGhmDNxkXSxCCc4eBAoIKv1vBOadfu0Sk4isqTE4HV7Ki1vYuakUvUHJ1FkjZz16OVPaHFv2LFWfTEHsHJJ1icjFMvRLLkc1JYeWd97C3dK/XKqTabk3+3bquhv4uGzdkOecb9KzyNmO2N5Ne2bOmNZ1Nkq5hBlmI/tONuEJYQcrkYcjloX1C84EQUBpNuOwFBEIBJCKJFyVvIwKaxUn20N78Mgjgg+P1MBAiRLr3t1II4199lQiqQx5ckpIwZkgCKzMvAGv38MHQwwHOLwO/nniTT7eshul1cCcJUlcljGHOdEzcPs9HG0pxHZwPwQCIZU0e5EZTaim5NC1fVtIPp7n0lvarCptZZWyFrnXRcO0JYMeq5k6DV3BAtrXrcVZVTnqa00UPr+P/U2HyY3IQiNTD3tski6BH83+DgmaBDqEWvzdep78l4Uth2oH2HlNRhTJyST88McIYgk1T/4WR+nAPshAIIBt314qn/gx7as/QpM/neRf/oaIG25Cv/gyRBoNnRs3DHL20aORqlmRdDlPzH2U7898mFmmfI62FPLs4b/xs92/Y13FRtqdwYJPcUcZr556m4ywVO7Jvn3CbZS2NnSwt6WLxdEG5kcNrjWXrlNxS3IU5TYH71cMnKT9opOsT6TGVjfkZnsy46qrpefUCcIuXzamnubzRShSGvUWi2WlxWKJOP11O5ekNCYd8ckG1Fo5Wz8tprOth4KlaYglod+ENDoF0fG6MfednYsgCEQ98CUEkYiml14Y8MDOjcxmcdx8NtdsH1KOQhAE8uvK8IklvK8wUmsPXQpjKApyo+lxeTla2hbSZ1Dq0nB2VxI4q49LZc7CZ7PibmgAgoKUEQpDyNmzasrxCz60Pf27A7xdnfScPIF27rx+GStlegbOqkr8rpGbik0qI8uTlrC/6RAlHf375Uo7K/j1vmc5Vmkhrm4KCakGZs8KBoFp+mQiFAb2Nx0OljTj4pHHxo54vbPRL74Mb3sbPSdGr0PVV9osb0BzZCdVEWm8fcqJ2zN4EG1cdRdirY7Gl1+8aHpcp9qLsbm7mRMT2m5bK9OwPPxWPNVmFhuXk2DS8Or6Yn7xz/0U10z+ZmpZTCwJP/oJYq2W2qefxF54xk/XWV1F7e9/Q8Pf/4JYoyX+sR8T89DDSCOCv+MimYywxUvoPnIIT8vYNoCDIQgCqfpk7s6+jV8vfIL7slcRrjCwpmI9P931W547/A/+fvxfGJURfC3vvj71/onicKuV9XVt5IdrWRE/fLfP9EgdV8RFcKTdxoa6ke8/XyRSdUl4Az5qbQO1Cic7nZs2IEil6BcvudhL6Ucoxudis9l8hdlsvsdsNt9nNpvvA/5yAdZ2iVEgEglk5UXjcftISDGQlD76tsC0LBNtzXY62kZf2hwMaXgExjvuwlFSPOiO+eb0a4lWmXj15Ft0ewaOmwf8fnoOH0Kdk4tCreK1kgas7vE9iKckhWPQytl5vCGk4xXadAJ+Ny57Td9ryl69s+KgnZBEJOHq5OVU22o53npy0POczdG2E/i0Dmwt52p67QtmrM5RZ1dmZILPh7MytEnMK5MuJ0Jh4K3iD/H5ffj8PlaXf8azh/6KKCAwq3kFMqmUy68+41MoCAKzo2dQW1OEs7RkUMuokdDkz0Cs1dK1beuo3wvB7G1S+3H8Hjfxt6+kzepiw4GaQY8Vq9VE3Xs/7toa2j9ZM6brjZe9jQdRS1XkhuCx2ktFXTe+phRumjGTH9w5na/fmIPN4eG3rx/i76tPjEos+WIgjYgk4bGfIIuKpu65Z+natpWmV16m+pc/w93YQNR9D5L4+P8MKEcD6JcsBZEoqCV1HpCLZcyNmcl3ZjzEz+f/iKuTl9HsaEUmkvHwtC+hGqeW2bmUdNl5r7KJVK2SW1KiEIXQArAkxsBso47PGzrY19w1oeu5mCT3idF+sfrOfN3dWHfvQje/ALFmcokFh5JaWUNQUmMFcPnpr8llvnYJAKZMjyU+2cDCKzLGZAeTah7f1OZg6AoWop6WT+v77+Bu6C9jIRPLeCDnLro9PYPKazgrK/B2tBM2azb3ZsTi9Pl4rbQezzh6NkQigXk5URwvbw9J80yhTQZEOK1nGvKlJhMSgwHHaa9HgDnRMzAqI1hTsX5YgUybu5vyrkoM0UpaGrvx+YLHBrxeOjduQJGSOiBjpTxd4gyltAnBn+ttGTfQYG/iw7JPeOrQ83xauYm50TO5lpV0NblYtCIDtbZ/P+KcqOmkVwezk6MpafYiSCToChbSfewI3s7RZ4K0Iifx1iK6oqeQPTOL/PRI1u6uGvLfSZM/He3cebStXY2rZvAg7nzR43FwrPUks6Ly+xnWj0RJbRcJRg1KuQRBEJiTHcWvvzqP6wqSOFDUzE/+vodP9lTh8U7eviSJXk/8D36IIiWVpldepmvnDgzLV5D8q9+iX3wZgmjwx4o0PBztzFl07diG33l+tdMileFcm7qCn8//Ib8o+BERE6xlVt/j4o3SRkwKGfekxyARhXa/FQSBG5JMmPUqPqpqpqjzP0MDLUyuxyAPm/R9Z87qKnpOndlAd237nIDHQ9gkGgToJZTgTGuxWBacdgl40GKxPAh8+3wv7BKjR6OVc/0d0wgLH9sOUaOVExOvH3Pf2WAIgkDUfQ8gyOU0vvTCAKHSBG0sN6RdxdGWQnY37O/3ve6DB0AsRj0tnxiVnJWp0dTaXXxQOb6ejYLcGPyBAHtONo14rEgsR65JwGHrr3emzMwK+lGeXodYJOaalCuo627gaMuJIc93rPUEAQJkJsfj8/ppbwnenLt27cDT2kL49QNth8QaDbLYuEH7fIYiL3IKuRFZbK7ZTnNPK1/OvYdrIq/h8M5a0rKMpGcPlFOIUpvIrfPTEalEFjU21Xr9osvA58O6a8eo39u+5mMEQeCEPJseu5uVl6fh8fr5aMfQGUPTnfcgVqlpfPmFC1rePNR8FK/fO+iU5lD4/H7K662kx/cfApHLxNyyOI3//cpcspMMvPt5GT99cS/HyiZv6UusUhP/vUeJXLmK5J/9EuOqOxGrhu+7AwhbdgV+h4OuXTsvwCqDw0qjCZ5DocPl4V/FdSgkoqBUhiT06VcIWtXdkRZDrErOv8saJqRdYzKQok+c9E4BzW+8Ru2zT+GsrAhuiLdsRpU9BXlc6P3ZF4pQgrNNZrM57ZzXMs/HYi5x8UnLNtLeYqe9deJ2dBJ9GFF334ezopyGDz6i6Rwpi6UJi8g0pPNO8Uc09wQDw0AgQPehA6iyshGrgzf9HIOG5XHhHGmzsb1x7D06cZFqkqO17Aq5tJmGx9GIz3NGR05pNuOzWvGcJS0wKyqfKJWJtcNkz460FBKhCCcrNVgGaKq34vd4aF/zMYrU1D5Nr3NRZmQE/TZDzBoKgsAd5ltYlriY/57zPaZF5LJ5TRFyhYRFKwbPrHpaWghv7uFEvGhE66GhkEVHozRn0bV966gGA9yNDVh3bkc5bxFOiYZySwsxEWqW5Mfx+ZE66ob4fRRrNJjuuRdXdRXtn4bukDBe9jYeIlplIlEb+k29ttmOy+MbEJz1YjKo+K/bpvK926eBIPDsO0d5bf34pxvPFyK5nPArr0YWE3pvojItHUVqKp2bNoxpcORi4/T5+GdxPR5/gAcyY9EPYokXCnKxiPsyY9FIxPyruJ7W/wCR2hR9Eh2uTtocY9PDO9/4XS6cFeXg89Hwt+ex7tkVrMxMwqwZhBac3QecNJvNdWazudxsNlcQdAq4xH8gqeP02hwK7Zy5KKbNxPrZGja+uInWhi78Hjd+p5OAw8E9CdegdQm8ufcVnM1N9JwoxNPSguYc4dnLY8LJNWj4rLZ1XCWBBXkxVDd3U3OWcO9QKHXBvcnZRuiq03pnPWeVNoMCmctpsDdxqHmg4KbD66C4vZR8Yy46vQKlSkpTvRXrjm1429uJuPGWIcvRyvRM/A4H7rrakD+jQRHGLenXYVCEcXBnFa3N3Vx2tRmlanBJEtuBfQCUJinZ33Q45Ouci37xZXhaWug8fCTk97R++D6CTEbMrTcTFqHq+/27YWEyCpmEd7YMrfOmnTkbzazZtK/5GFfdxDYkB/x+XDU1/TK1zT2tlHdVMjdm5qjaB4prgxuKzPjBJ/p6yUuN4JdfnsOS6XFsPlRHad1/Tm8SQNiyFXiamvoNFHxRONhipcXp5u70GKKUockUDYVWKuH+zDhcPj+bKif2fnsxyAk3IxFJ+PPRF2lzdIz8hgtMb2AWfs11eNraaHnnLaRGE+qp519vcCyEEpzVEsyUFXCm52xy+adcYsJQa+TEJugntO8MwOP2cUCWj1ckY3bVR7Q/8R1Kv/E1Sr/1dcr+65u0/ehx7nmnlqteP071T35I3bNPgUiEZvqMfucRBIHbUqKIUcl5q6yRJsfYdpxzsk2IRQK7CkfOnkmV0Ygk6n5uAVJTFFKjkc5NG/uV06abphKrjuaTioH2Midai/AGfEwz5gbLvbE6muustK1djTIjE9WUoeVClBkZQOh9Z2fT3GDl0O4qzLlRpGREDnmcbf8+FKmpxCdOYf9pS6KxoJkxE7FOx8lf/IrqX/+C9k/WDOg37KWpp4V6y2G6D+zHcMWVSPV60sxGGmo66bG70apkXF+QzLGyNk5UDr0jN911LyKFMljeHIPH57n4urtp//QTKn/yQ6p+/gRdn2/p+96+xoMICMyOmj6qc5bWdhGukxOuU4x4rEQs4vbL09BrZLy5qQT/f5D0gnbmLMRhYXRuXH+xlzJqjrTZiFPJSdNNzHCBSSkjTi2n4j/AfzNKbeJb076C1W3jqYN/pq47tMrEhaLHUgSCgOGqq9FfthS/3Y48MWnIHsmLTSirutJisVSd9VUJ/OE8r+sSF5G0bBMdrT19/VDjJRAIsHntKZo7fagf+BbihSsoC59O99TLiVy5CuOqOzHedQ+me+6j/Io8NszTIdx5EwmP/RiJdqD1lEws4p70GKQigVdLGugewwSnViVjaloEu0804RuhvCIIAgptKk5beV8GRRAEjHfcjbu+jvZ1a/uOFQkirk1dQVNPCwea+meOjrSeQCvT9NmdmGJ1dHY4cFp7iLjx5mGzMJKIyOAQwij6zgC8Hh+b1xSh0shZsDx9yOPcTY24qqvQzprLnOgZdLg6R+3T2YtIKiPxv39K4j13EfAHaH3/XSqf+AmVj/+YlvfewVFe3lfS+ueJNyh98yVEajWGFUFx0LTsoCBtuSWYTVg2M55IvYK3NpUM+W8l0ekw3nU3rsoKOj5bN5d3vSoAACAASURBVOaeRGdVJY0vv0j5D75H67tvIwkPRxYXT/snq/F7PPgDfvY1HsJsSMegGD4DdjaBQIDSui7S4wYvaQ6GQibh1sVplNdb2RdCf+QXBUEiIezyZfScPDHhmc7zSbPDTV2Pi/wI7YSeN16toKarB98FDsADgcCEBv1+l4vosja+m/91AJ459Jcx30POB46SYuQJiYhVavw93SAS0X3kEM7qyTnEMGRwZjabp5jNZgG4rVdC4ywpjacv3BIvcaFJNRsRBCidoOzZgR2VlFtamX95Ginzc0l74C40y69hb08S9sy5GK64EsPS5YQtWcqSW79Jc04cryhPQfLQ/Txhcin3ZMTQ5fbyt8MVY7rJLMiLwWp3c6Ji5BS8UpeO39uD23FmN6iZlo92zlza1nyMq/7MQ2ZaZA4Jmlg+qdzYlz1z+zycaCtiWmROnwim0RiUC3Slz0CVlT3s9QVBOG2CXjyqwGPf9go62npYeq0ZuUI65HG2/cGSpmbWbKZGTkEhlrNvlN6FZyONiCRh5a0kPf4/pPz+KYx33YPEYKDjs3XU/PoXlD/2CPWvvEz4gVKia2wor1iGWBXMRoRHqvuVNqUSEauWZlDbYmfTgaHLutrZc5Hlz6Zk3Q7KH/kv6v74DG2rP8JeeBxf99Dla7/Hg3XPLqp//Uuqf/kzbPv3oitYQNLPfknCYz/GdMddeDs6sO7YRllnBW3Ojj6T81BpszrpsLnIGKGkeS4FedEkRml4d2sZriE0376IhC1egiCV0rlpYkRpLwRH22wIwNQJDs7i1HLc/gDNjpGnxyeSzxs6eOZ41YQEaIHTfVwNf/0zusIKvj/zm+hkWp478g+Otoxe93CiCXi9OMtKUWZm4u3swHZgP7qFixBrtTT87fnzPj08FobLnP0NiAd+xJly5iUpjf8PUKllxCaGUXZq/ErWZUXNHNhZhTkvmqmzzwRb8y9PxRCpYvPaIhw9Z25KComCB6bcQaeri7csw1fPEzVKrk80UtRmwzKG/rOpaRFolNKQSpsKbdAM92xJDQDjHXcjUiho+tfLfdkgQRC4NnUFrY429jYeBMDSUYLb5+5ndC4vPgCBAK6s2SGtV5GRibejA2/7yFN8gUCAU0cbOLqvlpwZscQnDy8lYNu/D2VGJtLwcGRiGfnGPA43H8ftG79/pTQ8AsPS5cR//zHSnv4j0V/+KsrUNLp37+Kygza6lSIq885MhwYFac+UNgFmZEYyNS2CD3ZUDKkF5vX4OaCew6G4KxFPmYGntYW2jz+k7tmnKPvut6j4yQ9p+Mdf6di4AUdZKe6mJlrff5eKxx6h8YW/47PbMd5xF6l/eIaoex9AHp8AgDIrG2VGJu2frGFP/X7kYtmghvXDUVob7BsbTeYMQCQI3Lksg3ari/X7Jvck3GgQa7Vo587HumfXsIHzZCEQCHCkzUq6ToVWOrHTn/HqYJn7Qk9tHm230ebyUGkbX2ASCARoevWf2I8dRZAr6Nq1gwilgUdmPEy8JpZ/HH+V7Wf59l4MnBUVBDwelJlZdH6+Gfx+wq+6lpivfQNPczNNr/xr0rk2DGd8vshisdQAj/dKaJwlpfHEhVviJS4GaVkmOtsd4ypttjTa2LymiOg4HZddmdmvbCeRill+fTbOHg9bP+2fDUrRJ3FV8jL2Nx0ecdc1M1JHmFzK3pbRN01LxCLmZkdxqLiVHufwQYhYqkaqjOln5QTBcprpjrtwlpUG/+hPkxuRTZIugXWVm/D6vRxpLkQpUZBpCA4X+J0ObBs+QSNy0u4aOqN1Nsr00PrOXE4vGz8+xefrLMQmhjF/SWq/7wcCATytLVj37KLp9Veo+vkTuOtq0ZwlPDs7ejpOnzMkUd3RINZo0M1fQOzD36bikZV8fJme9ctjOHnOz7XXa7O3tCkIAnddkYnfH+DNTQNLu35/gI0fn6SlyQ4IeBdeS/Ivfk3aH58n/vuPEXnLbcjj4nEUW2h583VqfvO/VP73D2lftxZFWjpx33uU5F/+GsPyFQMkIQRBIOKGm3BYOzjUdJTppqnIxaPzeS2p60IuExNvGllu4lzMiQZmZBr5ZE/1pBepHQ2G5VcQcLvp2j420eILSXW3kw63d8JLmgARcikqifiCBmedLk9fpq6wY3zBcdtHH2DdsZ3w624g/MqrcFiK8LS1oZGp+a/pX2NKhJk3Le/zScWGixYAOUqCU8+K5BS6tn6Oelo+MpMJVaaZiBtvxrZvD9bt2y7K2oYiFPum90N57RL/WaSaI8dV2uzpdrHuvUIUKilX3pI7qJVUZJSWuZelUFHcStGx/tINVyUtJU4Tw1uWD+jxDL2zE4sEFiZEUNLVQ4dr9FmegrxovD4/+0P4nEpdGi57LX5f/5uodl4BqpxcWt97F09bMKslCALXpayg3dnBjvq9HG89SW5Edp/mUsemjfi7u4lJjqS53hrSTUsen4BIocBRMnTfWWNdF++8fICyombmXpbC9XdMQyICR3kZHes/o/4vf6L80e9R8aMf0PjC37Hu2oVYoyPiplsIO8u+JNOQhl6mY3/T2EubI1HeU0dPRgKJ5hkUtZfgPcuX79zSJoApTMm185PYX9RMYcWZ7GEgEGDXplIqS9tYsCwdqUxMfXVwMlKsVKLKnkL4NdcR+81vk/rkM6Q8+QwxD38b46o7SfnN74n71ndQ5+QO2xiszMqmZlYybnzMiRza5HwoSmu7SIvVIR5j8/HKy9Pw+vx8sK185IO/IMjjE1BmZdO5edNFs+AKlcNtNqQigSmGiVeRFwSBJL2KWvuFC7wtXUEXmGiljBMd3WMubXZu3UL7mo/RLVxMxI03o5u/AAIBrLuDOnZysYyH8u5nbvRM1lZs4M3iD8Y8aDQeeixFyGLj6Dl5Ap/NhuEs+Yzwa65DlZ1D879fw1V7YcWsh2Nyjilc4qKjVMmISzJQdqpl1Lsdr9fHp++fwOX0cPWtuajUQ2cZps1JIC4pjB0bS+hsP2MbJRaJuTvrNqzubj4sWzvk+wEWJgQnEPePIXuWHK0lJkLFzsKRdb0UujQggNMWbHJt6XTgcvuCk5f33g8EaH7tTHo8OzyTVH0yH5auxe7tIf90KczX00PHZ5+injqNWHMcTocXa+fIu2ZBJEKRlj7oUIDfH+Dgzko+fC0ogXHjHXmk+aup+8NvKf32N6j59S9pefvfOKsqUWVlY7r7XhJ/+nPSn3ue+O//gIjrbuhn+isSRMyOns6JNgs298SXnQKBAJXWalL0ieREmHH6XJSfpS4+WGkT4Oq5SUQZlLy2vrjPvP7YgVqOH6xj2ux4ps6OJzpeT/0wXpVSgwHtjJnB6dBIY0jrFQSBouwwtN0+jMdHV17scXqpbekedUnzbKIMKpbPimfn8QaqGm1jPs9kw7B8Bd6OdroPn79NwHjx+gMcb7eRE6ZBLj4/j8zkMBVNPa5xuZ+MhuIuOwaZhMUxBmweHzXdo8/adR8+SPNrr6CeOo2oe+9HEASkRiPKTDPW3Tv7CXTfm307VyQuYUfdHl4sfA3PBLRLhErA58NRWooy00zXjm3IYmNRntXjK4hERH/la4hUKhr++jx+5+QQBb4UnF1iSNKyjHR1OGgLQQusl0AgwNZ1xTTVW1l2XTaRUcOXAQRBYOm1WYjFIjatPtVnZwSQpEtgWeJidtbvo7hjaJ2rCKUMs17NgRYrPv/oAklBEFiQF0NpbRdNHcN7isrV8QgiGU5rGbsKG/jJ3/fw6mmRUGmkkcibb8V+/Bi2fXv6zn196go8fi9SkYTsiKDfYOfG9fh77ETceDOmmOA06rnCvEOhzMjEXVeLz36m3NxtdbL630fYt72SjHQdK+Jb6HnulzS9/CK+bhv6JUuJ+fo3Sf3DM6T+9g/EfPUhwi5fhmKEMfI50TPwB/yDaraNlxZHK90eO6m6JMyGdMSCmBNtRf2OObe0CcHhgHtWmGnucLBuTzXllhZ2bSoj1RzJ/KXBknFsgp6O1p5+Qd146XR1UepuIK9LRee6tfg9oT9cyuu7CAQY9TDAuVxfkIxaKeWtzSWTrj9mrKinTkNqNNExiWU1irvsOHx+8iMnvqTZS4pejR9ouABitF6/n1JrD5lharLC1EgEYdSlTUdJCQ1//yuK5BRiHnoYQXzGJUFXsBBPUxPOsjP3bEEQuCn9Gm7NuJ4jLYX86egLOLwXpgnfVV1FwOVEHp+As6wU7ey5AybjJXo9MV95CHdTI81vvHpB1jUSl4KzSwxJSmawtLnuvUK2rS+msrQVj3v4ibEj+2ooPtHE7EXJfYK2I6HRKbjsqkyaG2wc3Nl/rPnalCuIVEbwetF7uH1DP2znmPR0e32c7Bx9lmd+TjQCsHuE7JkgiJFrUvjsUBcvrDmFWCxwoKgZhytYkglbuhxFaiot/34Dny2Y3cg0pDMtMoc50TOQi2X4urvp2PAZmukzUSQlE25UIZGKaA41OOvtOysLZs/KLS28/dIBrLWNLNWWkrTl73R+9B7ymDjivvcoST//FaZVd6KdNRtJmGFUP5c4TQxxmphxTW0ORa/NS4o+CYVEQXpYyoDgLDxSjeGc0iZATko4c7JNbN5VxYaPTxIVq2PZddl9N9zYxGAQ1DBM9my07Gs8RIAAi/Kv7ZvcDJWS2i4EAVJjB8rCjAaVQspNi1Ioqu7kcEnruM41WRBEIsKWLcdZVhoUCZ2EHG6zoZaIJ0zbbDCSw4LnHm9p0+9yUfen/6PuuWeHDOArbA48/gBmvRqFWEy6XkVhe+ilTVd9PXXPPYskPJzY//ouInl/MV7trFkIMhnWQSy6liYs4sEpd1LeVcWLha8P0II8H/QUBzfQfkcPBAIDtDN7UWVPIfy6G7Du2knXztHbz000l4KzSwyJUiXjyltyiTBqsBxvZN27hbz0fztY/eZRjuytob3V3u8GUFnayp4t5aRlGZlZkDSqa6VlmTDnRnFodxUNtWfKkzKxjLuzbqXV0caaiqF315l6FWEyyZhKmwatnCnJBnYVNg57g/L7A3xyIo4NRTHMNofxvZXTcHv9HDjdryaIRETd/yV8jh6a33qj731fm3o/d2XdBkDH+k/xOxxE3HATACKRCFO0NuTMmSIlFcRi7JZitn5qYeeb28lp2s7csncQju5CPS2fxJ/+nPjv/yDYRzUKBfvBmB01nUprdZ+t1kRRbq1CIVYQrQ56fE6JMNNgb6LdeUbWRBAEUntLm939H1rXzEwgzQ9eQeCqW3OQSM/s3I3RWiRSEfXVE6OsHwgE2Nt4iFR9Egm5c/smN0PNnpXWdZFgCpqdj5fL8mOJjVTz9pZSvL4vnv3RYOgWLEKkUNCxcfLJaji8Poo67UyL0CIe59/ScBgUMrTS8Q0F+F0u6p57FvuRw9iPHqH7tDzOuRR39SARBFK1QSmfXIOGLo+XuhACQ29nB3XPPoUgERP/3UcH1aEUKZRoZs7Ctn8vfvfADfWs6Oncab6FU+3FvFe6ZpSfcvQ4ii1Io6LoKTqF1BSFbBgfzYjrb0RpzqL59Vfoqb64/WeXgrNLDEtKRiTXrMzjS99ZyPV3TCVvZhz2bhe7t5Tx1gv7ee0ve9j6qYVTRxvY+PEpIqM0XH5t1piCgoVXZKDRKdi0+hRu15kG4UxDOgti57K5ejtV1sH/YESCwCyjnlKrgzbn6MtZBXkxtHY5KRki2+Lx+vjrR4VsO+lmflIddxa4yEwIIypcxa6zMm7yuHjCr7kO257d2Av7lwN9NhsdmzagmTUHeUJC3+umWB2tzd34vCM/bEVyOdK4BJq27kK29l/MrfmYcGslYcuuIOU3TxLz1a+jSBxdYDwcs6OnIyCwv3Hsdk6DUdFVRbIuoU/zLTciaId1oq2/l2RfabP4TKbI6fCw45MiZBIRhV4vJ2v6B2FisYjouOH7zkZDta2WRnsTc6Nn9k1uhpo96zU7z4gbX0mzF7FIxKql6TR3ONh0MHQrr8mMWKlEt3ARtgP78HZOLtufwo5ufIHAeZnSPJd4tWLMwZnf6aTu/57GYSki+ktfRZ6QQMu7bw8aHFm67KRolchO989lh6kRCyNPbfp6eqh99ml8djtx3/0+UuPQlRF9wUL8Dgf2IwPvGz0eB7sb9qOX69hau5O/HnuZA01HqLLWYPcM31oyWgJ+P46SYhQpafQUnUIzfcawzyZBJCLmqw8hkssp+8vfJnQto+VScHaJkBBLRMQnh1OwNJ07vjKHe74xj8uuysQYraXkZDOfr7MglYq5+tZcpGdlMUaDTC5h+fXZdFudbN/Qv+n95vRr0Mm0vHbqnX5TfWczK1KHCNjXEloW6mxmZBqRy8SDDgb0OD08/dZRDlhauP3ydK6dZsVtK0cQBApyo7HUdNLSeaZ/Ivya65DFxNL0yr/6NZe2f/oJAbebiBtu7Hf+qFgdfl+A1hB6+wKBAA2BcBTOTiLENiJvuY3U3z+NadWdSCMiRv25RyJMrifTkMa+psMT1ufk9Dqp724kRX8miIxSmYhQGEYsbXq9Pj59rxBbl5NrV+ZhMmn496aSvtJyL7GJYbS32Ptp6I2VvY0HkYgkzDAFPfjO1j0bKXtW09w9wOzc0942LtHLvNQIclPD+XhnJbYJ+HyTgbClV4Df30+OZjJwpM1GpEJKnGp8PpqhEKdW0Or04PCOrtTndzqoffYpHKUlRH/1IXQFCzCuugtvexsd6z/td2y700Or04M57Iyki/J0ybawwzbk37jf46H++edwN9QT+/C3RtwAKs1ZSMLD6do1sDy4r+kQ5V1VhMn0SAQxx1tP8fKJN/j9ged4bPvPeHTb//C7/f/Hi4Wv8XHZp+MyUnfX1eHv6QmWXn0+NDNGFo+WhBmI+84jRC5eNObrTgSXgrNLjAmtXsGU/FiuuiWXB7+zgBvvyufme6ejCcE3cDii4/XMKEiiuLCJ0lNn5C2UEiV3mG+m3t7IhqrBdZF0MgnZBjUHW614Rzn1JJeKmW02caCouZ8Se4fNxW9fP0RpXRdfu34KV81NRKFLw9Vdhd/voWCQfjWRVErU/Q/i7Win9YP3APB2ddG5ZRPaOfOQx/bXcDad7kVqqhs5qCw91cwJiRnftfeS/uTThF9zHWL16LWzRsPs6Bm0OtqosE6MCGqVtZYAgX7BmSAITInIwtJRiues4Lu3tFlf3Ym928WWtRYaartYem0W8UkG7r3STIfNxcc7+9vEnOk7G19p0+v3cqDpCFMjp6CSKvvWFGr2rOR0iT7jdHDWtWMbFT9+jOY3XhvXulYtzcDl9vHRjsljjzMeZCYT6mn5dG39HL9ncgScnS4PFTYH+RG6cbcHhEK8OhgA1o1iKMDncFD7zFM4y8uI+drX0c2ZB4AqKxvN9Jm0r1vbLxtpOe3hmanv3z+Xa9DQ4fJSP8i1A34/TS/9A0fRKaIf+DLqnJEFmAWRCN28AnpOFPa7fiAQYFf9PhK0cTw2+9v8dtH/EKUyoRDLuT3zJm5Jv47ZUfmopWpqbHWsr9rC6vLPQv55nEtPcXCz52lrRawPC7aFhECpxsnB1LElGSaKS8HZJcaNWCwiNjEMXZhyQs43a0ESplgtWz4p4viBWvynJzCnGnOYYZrKp5UbabQP7jU4x6inx+vjRMfoxXMX5EXjdPs4VBzM0tS32vnVqwdo6XLy3dunMS8nGgClNo1AwIuru5oIvYKspGC/2tm7TmV6BvolS+ncvBFHWSnt69YS8HoHZM0ANFo5aq2MpobhgzOP28fuLWWExUZgvnEpImlo4rXjJd+Yi1QknbDBgAprcOgjRZfQ7/WcCDNun5uyc/z40rOCfWlr3zpG6amgflvGlKCjQHqcnsXTYtiwv5baszKPphgtEolo3KXNiq5q7J4eZkX11zYLNXvWa3ZuUEtpfvN1mv75EoIgYC88Pq5MZFykmsumx/L54XrqWr/4ptkAhmVX4LPZsO29uGryvRxtDw715Ief/5ImnHEKqAuxtOnr6aHumSdxVlYQ89DDaGfN6ff9yJWrwOej9f13+14r7rITIZcSqegvb5QdpkEEnBiktNn20QfY9u8j8tbb0c0vCPnz6AoWBjXP9uzue63aVktddwMFMcG1KiUKHp72IGKRmM9rdzA/ZharzDfzrfyv8LP5P2RuzEyOt57qt2EbDY5iC2JDOI5iS7CkOYLOYCAQYH3VFv5y7GVONA8v9n2+uRScXWLSIRKJuOrmXGLi9ezYWMoHrx3qk/NYmXkjcrGc1069O6iYYZpORbhcyr4xDAZkJIQRqVewq7CRktpOfvPaQby+AD+6awY5Z9kfyTVJIIj73AIKcqNp7nRQWtf/msZbb0NiMND40j/o+nwzunkFyKKiB712VKxuxInNw3uqsdvcLLwiA5Ho/O/ke1FKFEyNnMKhpqNDlpRHQ0VXFdEqEypp/917piEdySCSGuHGYGmzrcXOlPwYps9L7Pf925ako1JIeGW9pW+gQywWERWn6xOjHSuVp7OFafqUfq8LgkD49TcOmz0LBAKU1HaSZZRR9+zTdG7cQNgVV2K88x58Vivu+vpxre2mhSnIZWLe3jy0zMwXCWVWNvKERNrXrL7o2bNAIMDhVhtJGgXhw3jSTiQqiZhwuTSkvjOf3U7t00/irKoi9uvfRDtz1oBjZCYTYctXYN21E2dlBR6/nzKrg0z9wEy7WiomVafkeHt3v01D9+GDtK9djW7hYgxXXT2qzyOLjkaRlo51146+c+6s34tMJGV29JnNTqQygq/m3kebo2PABOd0Yx5OnxNL+9DC20MRCARwFBcjNZkIuN1DTmn24vV7eb3oXT4qW8dM0zS+N/8ro77mRHIpOLvEpEStlXPt7VNZdn021k4n7/7zIHu2lqMSVNyacT0V1iq21e4e8D6RIDDbqKPC5hi1kbBIEJifE83Jinb+8OYRNEop/33vTJKi+++cRWIZCk0iTlswOJtpNiKXitl5vH+/mkihxHTPfXiamggEAoRff8OQ1zbF6rB2OofskbJ2Ojiyt5qMHBMx8aGJmbY43Gyubxu19ttgzImegd3bM6Bhf7QEAgEqrNX9Spq9yMUyMgxpg15jzuIU8mbGsWhFxoASk0YpZeWSNEpru9h11r9BbGIYbc12nI6xC15WWquJVEagkQ18oKmyp6BIzxgye9bW5UTc3sz8PW/iKLEQ9cCXMa26E3VODgA9ReOzxtKqZFxfkMzx8jYKy0f2W53sCIJA5MpVeFpb6Ny48aKupcHhptnpviCDAGcTr5aPKKfh6+6m9qnf466tIfYb3xo26Ai/9nrEWh3Nb75BmbUHbyCAOWxwSZAcg4Y2l4em0/dNd2MDjS/+A3lyCqa77xlTaVdXsAB3fT2uqkqcXhcHmo4wwzQNpaR/lSXDkMod5lso6ijh3ZLVfa+bwzNQShQcbj4+6mt7Ghvw2azg9SJSqVCZs4Y81u7p4c9HXmR3w36uTl7GAzl3IpOMzqJtorkUnF1i0iIIApk5Udz51Tlk5ERxeHc1b790gFhnCtnhmXxUvo42x8DprpmROsTC2BwDCvKiEQSBeKOGH987E+MQpVqFNg2PswWvuwuFTMJMs5H9RU24Pf2beTVT8wm//kaMt65EZjQNed2o02K0zfWDq7/v2lyGIBKYtyQtpM9R0+3kb0U1bKxrp6J7/GKP2eGZaKRq9o+ztNnsaMXu6SFFnzjo93Mismjqaab1nCbgVLPxdMZw8FvWgqkxpMfpeXtLKd2ng7HYhPH3nVVaa0g+p/zay0i9Z5Xb93JfzTqkPjfxj/6Q/8fee4fHVZ75+/eZ3otGvTerWZJ779jYYLDpoSQQQsiSRhJ2s3vtbjabbPLN5pcNm0Y2kEBCKKHGFGNsY9x7kVUsyeq9SyNN0fR2fn/ITVaxZAwhie/r4gJG72kzZ8487/s8z+djXD5SYCyPjkEeHYOntuaqz+s8a+clE2tS89KuOvqvIKL814C2YCba4lkMvb+VkHP6jT3XinKrE6kARZ9QSvM8yVoVjkCI4eD4K9QXArPuLhK++ji62XMm3Z9UrcZyx534GhuobmhBLhHI0I//TCsw6xAY6dqM+Lx0/+YpBJmcxK9+HYn86gIV/YKFCDIZzqOHKe2vwB8OsDRx4bhjlyYuYG3KSg52HeVg51EA5BIZRdEFVFirp71qf17fLNDdjXbW7FEOKJfS7xngydO/ptnRyucL7uPWzA0Xusj/kvzlz+A617kCKrWcG27JY9N9I91y214/Q1r3bBDh1botY2p3dHIZBWYdp63OaduhxJk1/PDRhfzrZ+dg0Ez8QBqxcgLf8Ihw5tLCeLz+MOWNY8VBo2+7A/P6myY9bky8HkEY3ymgs9VGS72VuUvS0Omv3DVWZ3fzXF3nBauZ9quwZrkcqUTK/LjZVA7WTOp1eiVaHOfrzcbv9io456Jw9rLU5pWQCAIPbsjF4wux5cDIimZsoh7pR6g7s/ns2P0O0g3jB5Iw/uqZKIoM7diO/t0/YlcaSPuP710QDz6POi8fb10t4ke065HLJDx6awEeX4gfvlBCdcvVd7Z9Woi5514iwSCD705s4SyGQtNyaZgOEVGkYmiYHKMWjeyTLQpPmqTuLDTspOPJn4x0TH79m+iKZ01pn8blK1GkpFDv8pOpVSGfYIKjl8tI16upGnLR+/zvCfT0kPDYV5BHXX0XuFSjRTdnLs4TxznWcZx4TSyZ46yan+f27I0UWvJ4s2ErtedSmXNiivCGvNTbmqZ1bG99HRKtlojXg27O+F2aDbZmniz5P9xBD4/P+QcWxk+e+vwkuR6cXeevhuR0M595ZD5zl6TSXeUmvjOXmqF6DraeGDN2YYwRXzhC5dD0HQMSLFrkV3goy1WxSOVGPLZqAPLSzEQZlGNSm1NFrpASFaOl97K6tUgkwuHdDRhMKmYtnFg88TxlVicvNXYTo1Lw5fwUYlQKSsD4eQAAIABJREFUOq7ByhmMpDZDkRC/KvstW5t2UjvUMKlrw3i0ONpQyy6Kz15OrDqaaLVlTN3ZVEiJ1XHD3CQOlnfjcPmRyaTEJV593VnrOU29iVb5YOzqWSQQoPe532Hd8gZtlixOL7kXZXT0mO00+flEPB787W3j7HV6ZCcb+e7DCzDplfzsjXJ2nWz/q7Z3UiQkYlq1BsfBAxMaUXf9+ld0/vTHHzm4HY9mp5fhYPgTT2kCJGmUCEDHZanNQF8vnT/5McG+XhK/8QTawqIp71OQSJDe8wDDOiPJXZN398406+j3BehsaiH6rnvQ5BdczWWMwrB0ORG3G6G2kaWJCydNj0oECQ/PfIB4TSzPVb1Mn7uf/KgclFLFtFKbI/VmdUi1WgSFYtwO0+M9JTxV/iw6hY5/nvc42aaMcfb0l+OjS1Zf5zqfIDK5lEWrMsnOj2XfTi3W4U6eOfEyRszIpDIUUjkK2cg/IX+YLQ1y6gaNyCUy9HIdq5KXoZJ9dM0iQRDQWmbh7D1IyG9DpjSzZGY824+3YXf5Memmf4zULAtlx9opP9HO7EUjAUF1aTc2q4eb7ixEdoWA8VCPjR2dVjL1aj43IwGVVEqqTkWNfaTI96PKAaTqk7lrxiZK+yr4sH0/H7TtRSpISTekkmPOIsecRYYhFbl04gLqFmc76YbUCdMGgiAw05LH0e6TBMPBSfc1HsuKEth9upPK5iGWFyeQmGKk5Egbfl8Q5TQLu1ud7cgEKUm6xEnHXbp65jhyGH9rC4Zbb+f1Gj2b08YX6tScM1721NSgSv/oPwqxJjXfeXAez22r4bW9jbT3u/j8TblXnGR8WrFsvh3n8WMMvPEaSU98e9S962ttwXNO4NlVcgr9wkXX9Njlg06UUgl5po9XomY8FFIJsWrFqJUzd9UZen73DEgkJD3xbTQ5udPeb3tUPLitmHe9R2he4YRWbpnWbkBOz/K1LNgwvQaAidAUzCSoVTKzxc+i+6+sM6aWqfhy8cP8T8lTPHPmj3x7/tfPpTaruC9yB1LJle/poHWAkM2GRK1BM7NwlMVURIywrXkXH7TtJdeczaOFnxvTnPRp4PrK2XX+KrHE6rjzc/O4PWEzFlcSIacEty3I0JCLbquVlr4u/J5eHL52jrWVcbDtOFubd/JO3Y5rdg46yxxAwDU4ooK9tDAeUYTj1ePLfFyJBcvTyc6P4di+ZkqPteH1BDh5qJXkdDPpMyZOLUREke3tA+zotFJo1vFwTiKqc0bEqToVnlCEIf9HTwEJgsANKSv49vyv89MV3+ersx5hTcpyQpEQO1v38Muy3/LtQ9/jl6W/ZUfLbjodPaO2vyA+O0maEEYkNYKRIA326XstpsbpMOoUnDlXIH9B76xz+nVnrc52kvVJyCWTz2EvXT0L9PSQ+LVvYC1egSgIo8RnL0VmNKFITPzITQGXolLI+Oodhdy+PIOjVb38f38qwzb88RtpfxxIdTosmzbjOVuNu7Ji1N+Gdu5AolajSEzE+s5biKGP3kF8nkA4QpXNRZFZN2H67+PmvFNAJBJhaMd2un75c+QWC2n/8b2rCsxgxLIpWiZB7xjC+taWcccEBwdxP/s0cUN9tGcVXDNttxARzqYpSesOoPJPTWDXoo7iS0UPMeiz8VbjNubEFOEOeqb8TPBe4qepv0R4NhAO8oeqP/FB216WJS7ka7O++KkMzOD6ytl1/oqRSASWLZzJ7TGLGRgYJhgI4/UE8LgDeN0BbK4Ab4U8JPtFMqwBDof2cUQ8zrrMFUSrP7qavkxhRGXIxjVYjjFhFQkWLZmJBo5U9bBhYcq0H25SqYS1m0YMvE8caKG5boBgIMSyddkT7iscEdnS2kf54DCLY43cmhqD5JKxKedqWNpdPiyqa9d9pJKpmGnJY+Y52yVvyEujvYV6WxMNtibeb/mQbS27yDPPYE3KcgosubQ6O8aIz47HDFMWcomM6sHaCzVoU0UQBIozLZTUDRAKR4hLNCCRCnS3O0jPHptenIhwJEy7s5NliVNbldHkFxD38COoMrNQJibRcLB5xOw8YWKzc01ePo7DhxBDoQmLlaeLRBDYvDyD5Fgdz247yw9eOMXX7ygiK2lqHb6fJkxr1mLfv5eBN15DW1CIIJMRGOjHdfoU5g03o87JoftXv8Bx+CCm1Tdck2PW2N0EIp+MXdNEJGuVnLY6qX/xRSSH96Obv5D4L3xxjMH4VAmEIzQPe1kSa8S0bj22ndsx3bB21IptJBig++lfI4aCzMpMYZc9wKAvcE2eGeUDVVSmy5h1VmT4xHHM69ZPabtsUwYrk5ewv+MIa5KXo5DIKRuoJC9qxhW39dbVgVwO4Qja4ouyHS/XvEH5QBV3ZN/C2pSVn4i48NVyfeXsOn8zyBVSDCY18UlGMnJimDs3ieJoPX0aKas3F7AhaS1iRODViq3X7Ji66LlEQi68jpHi1WWF8XQNuGnvm36tG4xovN1waz5pWVEM9LqISdATFT06vdJga+Kthm14Q0FeauymfHCYG5MsbLosMAOIVStQSiS0fwRD5amglqkpii7grhmb+NeF3+LHy7/LfUWb6XH38fSZ5/nh8SfZ23EIYNICewCFVE6OOfuq6s4AirMseP0hmrocyORS4hKmX3fW7e4jEAlO2Kl5OYIgYFy+8oL7Q0On/Ypm55r8AsRAAG/z9Aqdp8LcnBi+8+A8FDIJP3mllMNneq680acMQSYj5p77CPb2Yj+wDwDbrg9AIsG87ka0RbNQz8hh8L13Cft8eENh+rx+GhxuTg842Ns9xDut/WxvH5iyrE75oBPjucL48XCdKaf5n5+g/9U/ERz8eORL4kMj39W2nn6i77ybhMe+ctWBGUDTsIewKJJj1I6S1ri0LrH/lZfxt7YQ/8UvMSt1JI1/Ja/NqXKk+wTEx6JMS8N5ZKyd02SsT1uDXCLjw/b9zIzOp6K/alx9y8vx1NciSCRocvMuOKj0uvs43V/B+rQ1rEtd9akOzOB6cHadv3EWxhjxRyKcGRpmycI8ku051HpqaLS1XpP9qw0zkMr1uKynAViQH4dMKnCk6up/DAUB/L4QUqlAf/cwJw+2XHiQdrt6eebMH9nTcZAny3bS4PBwR3osaxKjxn3YSASBZJ2SjmvQsTkd9AoddxbczA+X/htfKLgfjVxD9WAtAgI7WnePkcq4nAJLLgPeQfo9I24NETEypYcyQEF6FFKJMCq1ae0bJuCfevrrvPhs+iTNABMRCkdo7rmy2bk6Jw8EAe81kNQYj+QYHd/9/AJmJJv4w/YaXtldTzh87QvoP060s2ajzstncOs7+Pt6cR45hGHJUtokSt5s7mP7+rt586b7+a8zbfywrJlfVrXzfH03W1r72d01SJVtmGP9Dn5R1cYf6rqosbsuCBVfjisYosHhYZZFP2aSA+Brb6Pnt08DYN+/l5Z//xd6f/8s/q6ua3a9nrpa/E/+GEk4hG/DLURtvHXaQcSg1zbKQaXe7kEhEUjXq0ZJa7hKTo1cy8H9OA8dJGrjrejmzMOslJOsVVJ1Fc1Ul9PvGaDB3szSxIUYli7H39GOv2P8Jo/xMCj0rE5Zzum+CtL0yQwHXWMcRC4nODREyGpF9PvRzb3YfbmrbT9yiZw1Kcuv+no+SaTf//73/9LncM3weALf/7iPodUq8fyNmA3/rTDZZ2JUyKiyuej1+FkUbyJWHsdpaylNg22sTFv8kWdPgiAQCftxD5WjjZqFSqWlvd/FmaZBbpyfclVK/k21A5w51cmK9TNQaxVUlnQRiYjoE6T8qvx3iAhIpNHYvfXcO2MZC2PHLzo/j9UXoNrmYnm8Gekn6Cyg1SrxeoMk6hJYmrCAvR2HMCoN1Noa2N9xmM7hbgwKPQaFHpvfTre7j2Z7K2eH6uly9dDp6qZyoIa9HYd4p2k7h7uOo5GpSdIlTPq5yWUSattsdPa7WDM3GVGEuqo+ElKMmKKmVl9ysPModr+DzZk3TfseaesbZl9pF+sXpJAco5twnEShwFVRTsg2dEED7VqjkEtZPDMOnz/M7pJOalqHKMqMQvFX0iggCAKqlFTsuz/E19JCyGrF/MhjPNdhZygQRKtSYRiyEtfWwLzCPObFmVkaZ+KGhCg2pFhYk2hhYYwBlVRKvcPDqQEn5YPDRESRGJViVF1ZidVJncPDbWmx6OSjVzyDQ0N0PvkTJEolqd/5HqYb1kEkjPP4Uex7PsTX1orcYrlq2QmNRkH3+zvoefa3yE1GemctxKfWMi964rT4RDxV/jt2tu4h25SJWWlia/sAqTo1c87tS5mSiru8FFdFOcq0dHp/98yFtPz5e90TClM2OMzcaAPqj3CvfNh2gFZnOw8VfAZDfAq23buQyGTT6jZN0SdxqOs4AmDz25FL5RfKKcbDfaYcV+nIZDnu819AolIz5LPxp9o/syJpMXNii6d03E/qt16rVf7XeK9fD86myfXg7NPHZJ+JIAhERDhtdZJn0pIeb6L1rJ0WRS3R8hiSjQkf+fgypZnhgRMIEgUqfQYKmZRDZ3rISDAQb5lesWkwEGbHliqMZjUrN+SSMSMajzvAmZIuTnVX0KNqR6a6CY0im2CwGlF0Mi9ucr2jYCRC+ZCLGUYtZuUnY0UDoz+Xfs8AezoOcWf2LdybezsyiYxyaxWHuo6zs20v+zuPcLynhPKBKmqHGuj3XtSLK7DkUGDJxRf2cbDrGFXWs8Rr44hSjd9xBjDsCXKsuo8VxQlERWkoP9GBRqcgJSNqwm0uZWvTDhJ1CSyIn1zkczxKavupahni/rUzJk1rAgT7+xg+XYJ5/U1XXXfW5/XT5PQSrxk/9SURBIoyLVgMKnaXdFBaP0BRlgXtJ2RL9FGRGY0ErVY8ZypQ5+VztngRdQ4PX8pL5oZECwUqKdqXniNFLSdz/lzMSjlqmRTpuUBDIZWQoVezJNZEvEZBvzdAidXJsX47jkAIs1KGTi7jvfZ+tDIpa5NGB1gRn4+un/2UsNNB8j/+C4q4OKQaDdrCYkyr1iBRKBguLcGxdw+emrNIDXrksXFTDuojwSC9L75A/zvvoC0qJumb/0RfRKDe4WZlgnlak4Nedx/vNX+ABIGygTMk6HIoGQywLM58wbtTEAQU8QnY93yI8/gxZGYzyU98e1TqVC+XcqzfgUkhI1V3dZ7J4UiYF2teJ8ecxfKkxUiUSvzt7bgrKzCvvfGKPpfnUUjlhMQQR7pPkGXMoMnewpqUFRO+L/Z9e/C3t6HKzMJ84wYAtjXvom24k0cKPzvGnWAi/tLB2fWGgOv8zTPHoueDTisnBxzckR7HPcvW03Cimrfq3mdeUhGyK3TjXYnzjQHuwTKMCasozIxCr5FzpLKHtCgN3e02QsEIBpMag1mFwaRGLh9/Njrin+nnxs35F1bd0pYmc6q/Fm17LCmRtcxencPyeDOHOm1sbd5JpfUsRdET6xGlaEceRh0u74Tq4B83zefShBnGNExKI5uzbuKm9LWc7ivH7ndgVBoxK40YlQbMKiMqqYotje9xqOs49+XegUKqQBRFTveV807TDn5e+jRzYou5I2sjFvXYgKsoy8Ib+xo50zzI6tlJxCbqpyxG6wl66fX0Mz9u+oEZQEOXA4tBSZRBdcWxmvwCbB/swNvYMK4W05UQRZE3m/vo9vhRSgXyTBOv1C0vTiA7PYof/eEEP3qxhMfvKib7r6RRQB43YnQfDoU51Gsj16i5EGwoU1LQL1qMfc+HmNbeiNw8ftAulQgURekpitLT7fZxrN9BqdXJyQEH6ToVnW4/NyePbhoRIxF6fvc0/q5Okr7xLZQpo2sQpTodls23Y95wM45DB7Ht2kH3r36BIikZ8/qbkBmNRHxeIl4vEa+PiM9L2Hvu/8+9HhwYINjfR9Qtm7DcdgeCREKyNsTxfgcDvgBx6qnXm53qLUNA4Il5X+HZypd4peEoEtkcco2jJ4mavHx08+bjPlNB4lcfR6obfd9YVAoSNCOpzeXxE0+CJqNysIbhgItllzgCGJYuw1V2Gnd1FbpZsyfZejQ3pCznQMcRvCEvjsAwLY52skzp4471nK0GUbwgPDsccHGk+yQL4uZMOqH7tHE9OLvO3zxqmZTiKD0Vg8PcnBJNdLSeJeoV7GcH22v2s3nmuo98DJ1lHlbn69h6zzJgjSZRLae0foBIvRUZY2d4Gp0Cg0mN0aTCYFZjMKlRqWWUn+wguyCW+GQjzU4P+3qGqB44jD+plEL5jejb5GhqbaiTLKxNXcnJvjJer3uHHHM2Sun4nVVauRSLUn5NnAKulhHxWTVxmospWIVUzpLEBRNuM9OSx76Ow9TbmiiMHulinR8/h+KYmexuP8CHbfuptJ5lbcpK1qetGaVfl2jRYDGoqGwaCc4SU0yUHW8nGAghV0z+2GsbHqmJSTdOrRngUkRRpLHTTm7q1H4E1DNyQCrFU3P2qoKzlmEv3R4/ConAlpZ+vlmoGpOSu5SirGj+/cF5/PLNM/zPK2U8ems+C/Pjpn3cTxIxHMZ56CCyqCgCjfUY85pZu250Gjj6tjsZPnWSoffeJe6hh6+4z0StirsyVNyUHE2J1cHxfgcyQaD4si7NgddewX2mgtjPPoS2cOJ0mESpxLzuRkyr1zB88gRDO7fT9/xz444VlCokahVSlRqJWo08OpqsRx4ikj3zwpjzgWen2z/l4EwURU71lZEXNYN0QyqPz36UX1TWg+gAPMDoQDz+0ccIu1wTBrOFZh0fdg3iCAQxKqa/ynqk+wRGhYGCqIsd19qiYqQ6Pc6jh6cVnKllatalreLdph1IkVA2cGbc4CzkdBIcGKlTPV9vtr/zCKFIiPVpq6d9DX9Jrgdn1/m7YEGMgdNWJ7V2N7MtBjYvXU7prhL2hPezdsYStOMYW08FnzdIV5udrnaRRKOS5sr9nCotRKOUIAJR+THcsiITlVqOw+bFaffitHlx2H04bV46W224qy4W70rlEmIXJPC72k7aXD6kkSb8gVIWJszjwTVrObq3icqSLsQILL8xm/tz7+TnpU+zo2U3t2dvnPA8U3QqmpyeayJGezW0ONpIN6RMy7Mu25SJQiKnerCWwuj8C68rpAo2ZtzIkoQFvNu0kw/a9nKs5xSbs25mUfxcJIJkRFIjy8LRql6CoQiJqSZKj7XT0+kkNXPy1GarowMBYcqdmpcy6PBhdwWmvCIlUSpRZ2Zdtc/mkT47GpmUh3MS+V1NJ2+19vNg9uQ1eQkWLd95aB5PvVXJM+9WM2D3snFx2rTvC487wDt/KkMiEdAZVOgNSnQGFTqDEp1eid6oQqtXIpV+tL4zV+lpgtYBov7hK3S88gorTu4hafPaUWPkMTGYVq3Bvn8v5vU3oYiPn9K+tXIpqxKiWB5vxhsKjwpsbbs/xL53N+YbN2BaMzWpDkEmw7B0GfrFS/C1NIMoIlFrkKhVSFRqJCrVuOk8S4yegYGLvrrRKjlKiYROt2/KdWfNjjYGfTZuyRiRqjCrYpBJnfiDlfxf+UGemPvlUZpeErkcyQSBGYy4BXzYNUi1zc3SuMmbWy5nyGejZrCeDek3jBKNFWQy9IsW4ziwj7DLNWbFbjJWJS9jb/shIkQo66/kzuxbxzxPzuubyWNiUMTF4wv5ONB5lOKYmcRr43A5fYRCkSnXnv4luR6cXefvgmStCrVUQqPTw2yLAaVKzsbk9bxm+xOvlW7ji4vvndb+PC4/e7bV0tk6Yrwuk0vQzEojJrqeux6cQXRCAt9//hQtDt+FB4FKLScuceyDNhgMM2z30WQd5ojfy+udVowKGYujfexuPcAMUyafzbsLiUTCsrXZSASBilOdaPUK5i7JYGnCAvZ0HGRB/BySdOPX0KXqVJQPDmMPhD7RujMAb8hHj7uP2bFTLwKGEdPj3KgRSY3xgkqzysTDM+9jVfIS/tzwHi/XvMHBziPck3MbmcZ0irIs7Cvror7TTk6SEYlEoLvDfuXgzNlOnCZmyrUpl9Jwzn5rxgTis+OhzstnaNtWwm73hbb/qTDoC1Brd7M6MYpkrYoNyRbe77ByasDJwtjJj6/XKPjn+2bz/PZathxops/m5aENucimEUg1nO3DMeQlLcuCx+1noHcYn2es2LFGp0CnV6LSyFEoZSiUMpRKGQqldOS/VbJRrxuj1BcCOlEUGdq5HXlcPFXJ2TQsWsOqPe/gPHII44pVo44TdcsmHEcOYX3nLRK//NUpXweAVBBGBWauinIGXn8F7Zy5RN8zvWcDjFgmqbOyp73deSSCQKJWOa7H5kSc6itDLpEzK2ZkBa7J6SEC3JJWxNv1p/hNxfM8PudLE66wX06sWkGsWkGVzTXt4OxYTwkASxPGrowbli3HvudDHAf3E7Xx1invUylVsCH9Bv7cMCKF1ObsHGOt5q4asXjSLxjRJzzcfQJvyMv6tNX09zjZ9voZpFIJn/vq4gknDZ6gl11t+5B2wKaUiSe8HzfXg7Pr/F0gEQSyDBqaHN4LP/TL5xSzf9sRysQyehxrSDCO7/d4OQO9w+zYUoXfF2Te0jRSMszEJhoQQ066z9ajkDQgkSSxtDCBN/Y10jPoJsEy8Y+uXD7iq/mmdQi3KHJneizJmiA/L30Ri8rMo0UPXqiLC0dE+uQCYZ2cEwdaMJrV3Ja9kTPWs7xa+xb/OO8r465OnRej7XD5PvHgrO2c+GzmBGbnkzHTkkeltYY+z8CEfpwZxjT+ad5XKekr592mHfzs9NN8vuA+ilOLkUklVDYNMjM9iph4/RX1zkRRpNXZTqElf9JxE9HQ6UClkE7apXk5mvwCht57F299Hbo5UzdePtJnRyIILD4XiC2JM1HncPN+xwCZBjXRVxAQlcukfGlTAbFmNVuPtDLo8PG1OwrRTLFRoLGmn+g4HRvvuRh0h4JhXMN+XE4/LqeP4XP/djn9eFwB7IMeAv4wAX+ISGR8SYuoGC0b7piJKUqDt7YGf1srpoe+wOE+Oylz56NqrcL69hb0CxYiUV0MoGVGI+YbNzC0bSu+1o2o0tNH3AMkkikXn8M5yYzfPY0yNY2ERx+b1rbXkmStiqN9dkIREdkVuqxDkRCl/RUURxegko181+scbpQSCSsSMjHJH+C5qpd5rvIlHiv+/JTrbLP1Mo72u/l1+cusS100JQHYiBjhWPcpcs3Z49aDqlLT0M6azdCO9zEsX4nMMPWO1OWJi/iwbR+OwDCl/RUXgjNfIIRUIuCuHgnOdPMXEIyE2Nt+kBxzNqphI++9MeI04XEHaG2wkpU3+nkSjIQ41HmUna178YS83JY/NbHcj4vrwdl1/m7INmiosrkY8AWJVSsQBIH7ijfzy/pf8/Lpt/nnGx674j5a6gfY/V4NSpWc2z87h5j4S2pUpCZU+qyRxoD4lSyeGceb+xs5WtXLXauyJt2vMxCi3eVjbVIUBSYF/3v6WSJihC/P+gI6+TkRxSEPz75XTUvPMAKwxqJjz7ZabntgNndk38JLNW9wtPsky5MWj9l/vFqJXCLQ4faNqav5uGlxtI2kCa+ihqsgaqRl/uxg7YTBGYwYJi+Mn0tx9Ex+e+aPvHD2NR7Mj5CXauJM0yD3rZ1BYqqJipMdBANh5IrxGzIGfUO4gu6r0jcDaOy0k5VomJaEiiojE0GhwFNbM+XgzBsKU2p1MitKh/7cio9EELgrI55fVbXxRnMvj+WlXFE6RRAEbl+RSYxJzR931PKjl07zrXtmEWOafNXQaffS3z3M4tWZo16XyaWYojRXTBuJokgoFCHgDxHwh/D7QgT8YVxOH8f3N7PlhdPccGs+8p3bkRoMnM0swNNj54akaKLvvZ+O//4hXb/6BVKDETHgJ+LzEQkEiHi9IAi0//cPESQCYiiEIj6BtB/8aEpBVnBoiK5f/RypVkvS498aI/56vLqXV3Y3IJUKGDQKDBo5eo0CvUaBQXv+v+UYNArM+qk1hUxEslZJWBTp9fov1KBNRM1QPe6g50J3sSiK1Nk9ZBs1SCUCs2OLuD/vTl6p3cKLZ1/n4Zn3T1pi0OpsZ1/HYcqtHWg1d9LpEXiq/FmKovO5I/vWUbWj452LzW/nzhkTr4rF3P0ZWr/3HwxufYe4zz10hXfiInKpnJsz1vFa3duc6i3jzuxbKa238vz2GrITdGw856epTEnlaPdJHIFhNkfdwbbXz6DWyNl03yy2vlJOVWn3heAsIkYo7T/D1qadDPqGyI/K4fasjczJzB2Vav6kuS5Ce52/G7INIz8YTU7PhddmpCWTGymilSYqO+on3FYURUqPtbHzrWqiorXc9fm5owOzc+ii5xEODuN1NmDSKSnMsHCsundC4cvzVNlciECWbJDfV71Mv9fKl4oeJE4TgyiK7C/r4vvPn6Tf5uUfNhegUcnwRKvRaBXs2FJJgXomM0yZvNO0A2dg7ANFKhFI0ij/Ik0BLc524rWxV5UmtKjNxGvjqB6sm9J4lUzJV2Z9gVxzNi/VvIEhpY/eIQ/9Ng+JqUYiEZG+7ol9Nlsd58Rnr+BiMB4eX5CuATfZydNLAUnkctQzcvDUTN1n89SAk0BEZNllnXRGhYzb02PpdPvZ1zO50O+lLCtK4J/unY3THeD/vVhCU9fkXqSNNf0AZOVNrrE3EYIgIJdL0eqUmC1a4pOMpGZGUTA7kbsfnofRrGbnlioqe+So1q7n8ICTHKOGFJ0KdWYWpnU3EhwYwN/ZTsgxcq4yvR5lSgrKtHSIhNHNmYdq0TICvT14qquueE4Rn5fup36B6POR9I0nkJlGf44Hyrt49r2zxJnVFJ+TJvEGwjR1Ozh4ppstB5r5445antpSyY9eOs23f3OUA+VXL1B7sSngyt/ZU71laOWaC8X3vd4AzmBoVJfmssRF3JZ1M6f7K3iz/t1RDgEwIn1R0lfOkyW/5qclv6bKWsPy+HzMCgnZUSu5LfNmGmzZHtZFAAAgAElEQVTN/L8T/8ufG7biCXoYj6PdJ9HJtZN2kCsSEjGtXoPjwD783dN7j5YkLEAr1+AMuHj6/dP839uVSCQCtc39iIBm5kxERD5s309GMJfKHUNodQpu/+wcDCY1BXMS6W63Yxt0U29r4qclv+b56ldQyZR8ffajfH32oyTrE6d1Th8H11fOrvN3Q5RKjlkpo9HpYcklNRQPLN7ED47X8vrZrRQm/9OY2qZwKML+HXXUV/eRnR/Lmo25yCaQwlAbZyCR6XBZS9EYc1lWFM8z71ZT22ajIH3iWqcz1iHM2NlV/za1gRAP5NxGjjkbpzvA89trqGgaZGa6mUduKcCsV1LXbud4dR/ff2Au214rZ/ufK7nrztv4acWveKthGw/PvH/MMVJ1ao702QlFIsg+oVSNKIq0OtqZFTP9TsTzzLTkcqDjCL6Qf1RH5kQopAoeK36Y31W+QNnQHqQxM6lszmFFYTyCAF3tdpIn+CxanO0oJHIStdPvYGzqdiLChGbnk6HJy8e65U1CDgcy4+TbhyMix/rtZOrVJIyjbVYUpafW7mZf9xA5Rs2Udary0sz8+4Pz+MWbFfzPq2V8/wsLJkzHN9b0E5dkwHCFFbarwWBSc/vn5vDBU+/RGjWLNkk0nlCEtYkX9cdi7/sssfd9dtztI8EArd/5VwID/byTfSurJCWc+fP7LCgonLCmTgyH6fndM+ckM55AmTx6lXfXqQ5e29NAcZaFr95eiGKc778/GGbYE2DYE2TYE2D78Xbe2NdIcVY0Zv307ZdMChlamfRCcOZy+pArpCgvSzt7Qz7OWKtZkrDgQvF9vcMNQI5x9Oe3Pm0N7qCH3e0H0Mq13Jq5HlfAzeHuExzqOobd7yBabeHuGZtZnDAftUzFrk4rB3ps3J2xnMWJ89nW/AH7O45wsqeUjRk3siJp8YXjOgPDnLGeZU3ycuRXSJ1aNt2O89hRrG++TtI3/3HK74tMImN5zCo+6N5BaVcDGxbO59al6fz+Ry8gAMaVqynrP4O3VyC+MQu9WcXm+2ej0SqIhAPkFJg5eaiF13btpiruCGaliYfy72VB/JxpNSx93Hx6zuQ61/kEyDZoaB72Er5k1mgxGlisXYJN3s/uquOjxnvcAba+Wk59dR8LVqSzbnP+hIEZgCBI0Vlm43M2Ego4mJ0djVop49XdDXxY0oHV7h2zzZCzj3ZPCFW4jPJAiEVKBen2k5w8U8l//v4E1a027l83gyfunX3hIb+4IA5/MEyLzc2GOwpxDHmp+LCfG1NWc6qvjNqhhjHHSdGpCIsi3R7/1b5906bfM4A75Lmi2flkzIzKIySGqbc1TnkbhVTOY0Wfp8CSiyKjmkNdx1AoZefqziZZOXN2kGpIHtVhNlUaOh1IBGFSs/OJ0OSN1Lh56q7ctVllc+EIhFgeP/EK3aa0GEwKGW809+GfhmVTgkXLv352RB/qg5Pt446xWd0M9rvJzp9ajebVIDrsZNdspTjGSadBhtYeQOUa22wwHhK5AsvmO/C3tuCrPkNrbC6mrgZ+8cJRHK6L937E78dVdpqeP/ye3f/5NLvtGchu+9wo9XpRFHnvaCuv7WlgXm4MX7+zaNzADEAplxJtVJORYKA4K5ovbMwjFBZ5dffEK/IAVdYabN6x96QgCCRrlXS6/YTDEd56sZTdW8feHxUDVQQjoVGCyXUODwkaJYZxZGNuz9rIkoQF7Gjdzf+V/57/OPoj3mveSbwmli8XP8z3Fv8za1KWoz5Xu7YgxohEgAM9NgwKPQ/k3c2/LfwWyfpE3mx4lx+d/DlV1hpEUeREz2kiYoSll2ibTYRUryfq1s24K8/gnsLKJox8HofP9LD9fRHRp0GdVcXdqzPRquQsdNbilqro0saz5/Rp0urnE2XRctsDI4EZQGvzn3m1+n+xm7oJd2rYnLaR/1z8zyxKmPepCszgenB2nb8zsg0a/OHImC6ouxbfiNqvZ2fXLvzBEVXowX4Xb71wGmufi/W3FzB/WfqU5AZ0ljmAiHuwHIVcyoMbcoiIIq/ubuBfnjnGf/7+JG8fbKalx0nAO8CJpsOIYpiOQDczTJlsnvkYWytTeWb7ADqln+8+NGvECuqSY89IMWHWKzlR3UdyupkVG2bQ0WJD35hGtMrC63VvEwyP/jE73xRwaWozEhGpr+5j2+sV9HU7r/ZtnZDz4rOZV1nDBZBlSkcpVUzbCF0ulfMPRZ/HLKYyoDvF7rZDJKaa6O9xEgyGx4wPRkJ0DnddVUoTRurNrmR2PhHKtHQkavUVU5uiKHKkz0a0Sj5mVeRSVFIpd2fGY/MH2dY+MK1zMeuVLCuM52hVLw73WIX0ho+Y0pwKtt27EASBwOq5RBRSYro9vP1SKbVTNHA3LFmK3xjNCms5C++/FSkRDI0VPPnsARrf3UHXL39G0ze/Ruf//ZqTLQKN+kL8KhN76+QXOrBFUWTLgWbePtjMkpnxfPm2mdPqZo0za9i0NJ2SugHKG63jjnEF3Dxz5o/86vgfxqQZAZK0Kga8ARrqB3C7ArQ3D+G8bIJ3qrcMiyqKjHMNN95QmPZhLznG8ev+BEHg/tw7mR1TRIO9iYXxc/nOwn/k8Tlfoii6YEyQYlbKmRdtpMTqwOYfeaYk6RJ4fPaXeKzo84hihKfPPM+vy5/jUNdxsozpk9aHXorphnXIo2MYeOM1xMjkkwivP8Rz287yh+01ZCaYmJ9UQEQSZHf7AULDTsxuK626ZLbsPIu2MgNNlIzN989GrVHQ6+7n5Zo3+HlHOWd8XuJSh5CG5aS5c1FIP51OGdftm6bJdfumTx/T+Ux0MhmHe22YlDIy9BcfXlKJFJlfTaWvAmdvEEPAwvY3R2oZbr23eMq2PwASmRq/uxPfcBP6mIWkxOpZOy+ZxQVxWAwqBp0+jp/t5UB5NwfKu+hwGRCUbbjEVtbF3sIL7w3S0CtjdUGY2/KOowg2oNAkIFNcTHcJgoDDHeB4dR9r5iSRnGIiFAxTdbqbWYkFlAZOIhEk5JgvNiIopRJOW0cCsEKzjua6AT589yxny3twOf001vSTnG5GexUpmPHQapXsrD+A1TvE7dkbr1pfTSJIaBvupHaogeVJi6bl6CAVJESTwcmWRuq8ZSRoEnC2iCSlmcek5NqdnRzuPsENKStJmGZa0+ML8treRubMiKE4a/r+ioIg4G1uwt/SjHndxF1i7S4f+3psrEuykHKFdKVZKSckihzrdxCvURKrVkz5uxJrVrOnpBO5TEJ+2sW6NlEUOfhBPZYYHUXzkgmHPAiC7Jpq54Xdbnqf+y3KBYvYFpVKuk7NZ5dk0t8zzJmSLjwuPynpUZM2XYiCwJbTVooGz6KLiSLY30+qo41ZfRWI9dV4fUH0S5ZTmXAD3UED85amccOt+bQ2DlJ5uguTRcPO8m52nepg9ZwkHr45D+lVlAJkJhoorR+grH6AlbMSxwR3ZwfrON1fwYB7kCRdAvGX3XeBiEjF0DCBJjsyX5hQKIxMISX53Gfi8A/zRv07rExeSm7UiHRHrd1Npc3FhuRoTBN0ZksECXNji1mbuorZsUXoFZN3F8erFRzrd+CPRMg/50IhCAJx2liWJy1CK9dQ0leOMzDMpswNU67ZEqRSZCYzjn17kJnNqNLSxx3X1jvMk6+XU99h5/YVGTx8cz5ZUWns6ThIx3A3c2s9+OvqGCxYhd8hJ6Dx8tDDK+gN9vJG/bu82fAufZ5+Zimk3B2XxwxFL30DyQwNBimYPf65/qXtm64HZ9PkenD26WM6n4lCKqHG7sYRDI8Rd0yPSeREfRVNoQYG96uIjtaz6f7ZmCeRwZgIQSLHPViGUpOIXDXyY61Ty8lONrK8OIGVhXp0oRJ8IQmd/XJCUSfBr6P8UBRyuZTH7yxm7aKZqPWpeOy1DA+cQBTDKLWpCOdmtnqNnH1lXcQYVWQkGEhONzM44Ka5wkZSYhTHnEeZG1uM7hKB3TaXl95mG50H26g63Y1aLWflhhksXp1FY80ANRU9pGSY0eg+eoCm1Sp5rfJdErRxLEqY95H2FaUyc6DzCMFIiAJL7pU3uHRbvZodH/iJjgtx1l9KTG8WeqOKpLTRxfTlA5WcHarjzuxbL6R0psqLH9TR3uviwfW5mK7yvQs7hxk+eRzD0mVINePfc9s7rAwHQ9yTET8lE/t0nZo6h5vyQSezLQaiDOopfVf0GgXtfcOU1PWzdl7yhaDC2uei7Fg7c5ekolV101f3HAp1PHJV9BX2OHVsH36Ap6qStnu/QJ0vzGcy44jWqpgxM5ZIOEJlSRcdLUOkZEShVI0fqJ9ts7GlysVipQ1/6UkiPh9EImiWr+aDhOW8I+QwHIxi2Blk9c25zF6UgkIpIzs/lu52O2dOdVLX42D5ghQeWDdj1Kr1dJBIBFJidew61UkwFKEwc3TgfrDrGD3uPhL1sZwZOMvyxMWjUuoqqYRDvXaC/R6WzIxHKpXS3jxE0bwkJBKBoz0nOTtUx/25d6FTaImIIru6BnEFw9yaFjPpeQuCMOX0vUomxRUMUWJ1MjtqtBm6RJCQYUxjaeJCUvRJzI+bPa1gXZGQiKfmLK7TJZhWrUaQXQwoRVFkd0knz2ytQiaV8M27Z7G0cERkWSVTUt5XyZDfRtbJDmzhOJqVubiECH0JDurEI7zf8iGugJt1qau4N2keab5mUrLuQaYw4HE00daqIz3bgnac7+xfOji7nta8zt8d2QYNHS7vmFocQRC4r/A2wtIgA7Mq2XBvAbqrXEVSG3OQyLS4BkvH/C0UcODpeoVZiX0su3Ee5iUBJCovOcp5rJmTzH89spC8c4GDSp9BQv6X0UbNwtl3mN765wh4RxwFUmJ1JEVrOX6278L5r92UT0y8HrE8Bq3XzGt1bxOOhBFFkbamQQL7OlCXDhAIhFm7KZ/PfHEBWXmx6I0qNt8/C7lCynuvVTA44Lqq674UT9BLj7tvjFDk1ZBhTGVp4kL2dx6hyzW11NZ55DIJBWnR+BqKmZ1QgFftoLq+dcy4Vmc7JqURs2p63ZYVjVaOVPaycUkqaeN08E4VTf65urPa8dO3Q/4g1TYXC2OMKKaYXpNJBD6TGU8wIrKlpW/c1NlEbFiYitsX4kjlxfe7saYfiUQgNV1gsO1tQMTnHFvfeLVEggHsez5EXjybo16RGYaLDQ0SiYTFq7PYcMdMbIMeXnv2JEf3NuEZJ/V6qKIbrVpO+te/Rvyj/0D6f/8EQaFALhG5a/Mi5ioVBL1BXBYNSdkXAyaZQkqfTo4dkXQkZF1FivpyZiSbWDU7kQ9LOmjrHd1JXW9rIsuYzsNzP8Ogz8aejkOj/q6Ty1BHIGhQkFecQMHsBDyuAO1NgwCc6i0lRZ9EvDYWURTZ2jZArd3NinjzBeP3a8XqhCgkCOztGRz37zq5lvlxs6dduyUIAjGfuZ+w08nQju0XXne4Azy1pZJX9zRQmGHhvx5ZSE7K6O/m8qRFqHxhHA4D1XErCRqH6Sg+iCe+hH73EHfP2MwPlv4bt2auRxGwIggy5Oo4DHEryMmPQioNU3H86tw5Pm6uB2fX+bsj26AhLELr8Nji/ILkLD6X9xmG5P38pupZhgNXF6ScbwzwOhoIBS7WcoWCw/Q3vkQk5CU267PUDAtEIpXEaWL4xo038sCNOWgv68aSSJVY0jYTnXEv4aCL3rrncPQeRhRDLCqIo6HTgdUxci1yuZSb7y5EpZaT0bCQ5v5OfvbhH3ntj8fZ/mYlBCMM5puYdfdMcmbGjUoNGUxqNt8/C6lUwnuvVmAbdF/VtZ+ncbAVEfEjNQNcym1ZN6ORqXmt7i0i4tSL3AGKsywMOgJsiLsNXbwUjzXC+417Ro1pdbRP27LJ7Qvyws5akmK0bFqaMa1tL0eRmIRUb5iw7uxYnx1BgMXTVGuPVSu4KTmaBqeHPc39U95uRrKRjAQDu052EImII76hNf2kZulwdr+FIJGj0CThc7VO63wmw3nsKGGnk+ZVN+EJhbkhcWw5QWZuDJ95ZD6ZuTGcOdXBn545zrF9TXjPrXIMewKU1g+wpDAeTXw8hsVLUcTGoZ+/AMfx42x7+RRqhZT8lRk02D384IVTtPY6CYbC/ObtKk7VDTBrZQY5hXGUHG7j8IcN0wpqx+Pu1VnoNQpe2Fl7QXx3OOCix91H8aCKfG0ys2IK+aBtL3b/xeaAYDCMZMhHxKJCo1WQmhWFVq/gbHkPfe5+2oe7WBA3ZyQwax/g5ICDlfFmVidce4Nvg0LGolgjZdZhrL5ru6KkzsxEv2gxtl07CQ4NcrKmj+8+d4KqliHuXzeDx+8qQqcem6ItlCSwaZ+bxqhFBDVD1GcdQaOTIu2ci6njJtakLL/Q4e33dKHQJCAI0pGU7IxNJCe7aKofxmXvvabXcy34WIOz3Nzcdbm5ub/Jzc39fm5u7vfG+bsqNzf317m5uf+Wm5v7h9zc3Jxzry/Izc39U25u7rdzc3Ofzc3N/dLHeZ7X+fsiTa9CJgg0OsfX6VmSNJ/Hij5Pj7uPn5X+hiGf7aqOo7PMBUTcQ+UAhIMu+hteIhx0EZv1AEFFHA32RvwhK+tSV11xxqkx5ZKQ92XUhhk4evbSU/0UhfEjD5UTZy/6c2p1SjbeXYQQllJQvRZdWRYDNju6OR7u+EIR/iQdnd7xOzaNZg2b7p8NAmx9tQL70Pjv0VSoH2w551H50VfOALRyDbdn30Kzo43jPaentW3RuXRSVbONdXMWIRGl7K86RbOjDRj5obT6hqZ9rq/tbsDpDvLFW/KRyz7a41QQBDT5+Xhqa8YEA75wmJIBJ0VmPcYrGLePx1yjFrM3zBtnO+kdnNqEQxAEblqUSr/dS1mDlb5uJy6nj7ysSkJ+G9EZd6MxFRDyD42agFwNYiiEfe9urFveRJKZxfGIghkGDWn68evqDCY1azflc++jC8iYEU35iQ5efvo4x/c3cbism1BYZGXx6Foie2IhBPwkBzq586G5rF2azr9/bh4C8OOXS/nxy6WUN1r57I05bFyazg235DFrYQpVpd3s3nqWcGh6E4JL0arkPLBuBq29w+wp7QSgwdbE4goX8a/upu3lV7gz+xYiYoR3Gndc2K6pph+ZzY9PJuAOhpFIJOQVJ9DePMSx5jIEBObGFrOtfYAT/Q5WxJvYkGz52PxzVyaYkUkE9nZPXUNvqkTfeQ8eiYJf//Ewz7xbTYxJzX89soAb56eMez3epkZsP/0Z4XAaYakCa047UrmE7y76JzYVLKO+w0lN27nmjkiYgKcHhSbpwvYSiZw5yxcSiUgpP7yXcGjsZP0vyccWnOXm5mqAZ4An6urqvg8U5+bmrr1s2LeA9rq6uh8DPwd+f+71BOCXdXV1TwJfBf4nNzf32hU1XOfvGrlEQrpeNUqM9nIKo/P5+uwvMRxw8b+nf0OPu2/CsRMhU5pR6TNxWctGArPGlwkHHcRk3Y9Sl0K1zYUvUIFermdB/NSU4aVyLTGZnyE2+yFkqigkjl2kmt0cPdOKGAldGGeJ1bH+9plERelYdEMasTf5OSE/wE9O/wKtpIP24Ymv3WzRsPn+2UQiIltfrRjTHTZVGgabSdDGTbt+azIWxc8ly5jOO03v4wpOfWXPYlSRFKOlsnmQpHOpEYMrhuM9p4ARiymYnvhsRaOVI1Uj6cz0+OnLZ4yHOi+fsMNOsHd06vb0gBN/JMKySeQzJsJmdfPWi6Uoz1gRpQLvl3ZMedu5OdFEG1V8cLKdxrP95M5oQyq2Y07egEqXhkqfDoD/KlfPRFFk+NRJWv/zO/S/8jLKpGQ67noI9wSrZpdjtmhZt7mA+x5dQHp2NGXHO2g+1MpMrZLocyUJoihScriVfWU+/BozOXSgO6fcnxav57sPLyAr0UBb3zCPbMxn7bxkYCQ4XXpDFovXZNJYM8D2P1cS8IcmPJcrsSAvlsLMKN462Mygw4v73fdYVO1BUCiwnR7puFybspJTfaUXJg3VZd1Yzk3aujwjXdb5xSP+uQ2VA+SYsjnaH+RYv4NlcSZuSo6+5oGZKIp4fCPXrZfLWBxromJwmH7vtV09qxqM8Pv0O6j2a9hcZOLfH5w7oc7ecMkpOp/8CaIIXcY8gkobQ4peViUtRafQsnp2IiadgncPNSOKIgFfH4hhFNqkUftJSEkgOlZJS4sJa8ufEae5Iv9x8nGunC0B2urq6s5P0Y8At1w25hbgGEBdXV0lMCs3N9dQV1e3ta6u7uQl40LA1ERurnOdKZBl0NDrDTAcnPhhm23K4Im5XyEiRvj56adpcYyv+zQZOstcwkEHPbW/I+QfIibzXlS6kTTf8d4mwuFu1qauuKJg4+Wo9OnEZn+e2OzPMTvVR48tQunx5xi2nkaMjMhEpGZGcc8X5jN3YQb3FdzOt+d/DZ1CS4d9B7XWrQx4Jp79RkVr2XzfLELBMFtfKWfYMT1ngYgYoX6w5ZrUm12KRJBwb+4deEM+tjbtuPIGl1CcaaG+w05EEIiO0xHrS+F03xkC4SAtznYkgoRUQ/KU9uX2BfnjVaYzPe4AoXGkPAA0eSOq6pemNiOiyNE+O+k61RVtfC6nuW6ALS+W4veFuHtzIdFIaJOJdLVNbTVYKpGwfkEKjV0ObH2VZGe2o42ajS56PgBydRyCVIVvuHVa5wXgqa2h/Uc/oOe3v0GQy0n8xhPE/uO/cNQTJnuSVbPxMEdrufG2ApZuysOGiMYd5OWnj3PiQDP7ttdx6nAruUXxJGxYi7+pgcAlwa9Bo+Db983hya8uY/m5wOdS5ixKZc3GXLrabGx9tYKuwamnhi9FEAQeXJ+LGI5w+qlniTvZSEdhPDH33Iu/v59gXy/r09ZgVBj4c/3/z957h8dx2Hfen5ntfbGLXfReFiQKwd5JkZIoiRQlWV2WLcflbOdNc8ol7+WSO+cu7bXjXIojx71ILhItWbJEiWLvFSQIAiB677uL7b2+f4AECRIEAZp0co/5eR48ooCZ3dmZnZnf/Mr3+0smxrzYx/wsLbcgcM0pQGdQklmoQj6WiVq5hhMTHtZajWwvuPuBGcDx5jF+75+O8q1ftjLhDrEx24hMFDg4Onvv2UIJRuJ8+73L/OvbzZhMOj7rOsLylj2zDjOk02lcez5g7N//DXl+AW65haAig4ncQURRZGvhRmDKN3bH2mI6h720DbiJBadcCBQ3BGcAtSuKCQTVjA66cI/svSuf6W5wLx0CrMD13Y++K7+bzzLX58h/F/jbjo6Ouf1EgIwMNVLpwsUjF4rF8uv1JrzP7VnoMVkpl/DR8CT2dJrSOda1WHT8jeW/8teH/4V/bfo2f7L+8yzJvrUtyY2kzMvxjO4hGQ9TtvTTGDKnJg190Th9nrPIRAVPLXkItewOldatS3jeamN380e0TmRjUe0m6DhJdumDZOauQLhuGstiqWZZSRXfbNjN4b59/O25f+SFmp1sr9wy69SWxaLD8NsqXvv30+x+8xKf+n/WzVsRfsQ3TjAWoi7PdtfPF4tFxw7vVt7r2M9jizZTmVl6+5WAjcsL+PDMICPuMGU2C66TQaLxGH3RHkbDoxQYcsnPnp8Mxus/vYA/FOfLn1tLbs78HAGikQTH9ndx5mgvlmwtn/ziWlTqmebk6UwtY1YLyb4uLJaPAXB+zI07luDFmsJ578tUKs3hPe0cP9BNbqGR5z+1Ar1RhatPzk/aRjh4ZoAvLSuYlwfoU1srOd/QQrWtDUGaTeXS5xGv04bymcoIBwbnvW3B/n4GfvQ67vONyDMzqfiD38WyeROCRMLe3gmCiSTPLM7HYpq/efxV2uw9jMpF/uiL6zh3pJcLp6YeqDZtq2Tztkringpc775N/MIZ8j71yRnrziWeYnlQhzVbz5s/PMeu187ywueXU1dUueDtyzRr+IKiE03HBRorVRS8/AQF5nrsP34Noa+TgtrH+eTSp/n6mR9w8txlpDKRB7ZUcOJsJ454cnofJ4vdhGRWJoJKthRZeGlx/j0rZZ7vdKJVy7jQ5eRsu52HVhaypszIsQk3T1dLyVtAEH0jDW0T/OubF/EGory0zcbzD1Xi3J+i59VvIna3krlu7fSy6WSSnm9+B+dHe8ncsB5NaQnn9g6jVIhUL83DqqulIv/aw9XTD1ay5+wgu08P8sXNE0jlOrJzb95Pxo0qTh3qZWKyDrPjGGZLIZn5q4H/2Hv9vQzO7MD1n0x/5XfzXsZms30c0HR0dPz1fN7Q7b7z/pj5YrHo/kPNUO9zM3dyTJTpNCqJSOPIJGXyuUUIRZT8Qf1v829N3+Hvj77Kpxa/yPKsJfN+L3PxCwDE0rnT27lvqJd4oo91uZsIehIE+dW+U9UlZi6NKnhm60v4x48yePnnjHTvR29dg0RmQBAlU3pUopTNGTbO2w3oOMNrTW9xqPsEL9qepsRYfNPrShUStj9Xy3s/a+L7Xz/Bky/Xzzp2fiMnOqemrjLFrHtyvjyQtZlj/ef4xpnX+bMVvz8vSYBMjQyVQsLxxmG2VFhJJdLk+EvZ23GMAf8Qy61L5rWtF7ucHGwY4vF1xRiUkul1fLEEComI4oZJynQ6TUfzOKeP9BIOximpzGSgZ5IfvnqSnS8uQX7DRKCiogp34wXsE14EUeTDrjFMChl5ojiv7YuE4+x/r42hXheLluSw8eEKovEEDoefNfmZvNk2wqAcjh3sZPGS2+tRpRIRnlzSSiIposjcyaQrAlzLpAryfGLhVsZGhpDKb112jU9OMvnu2/hOnURUqch89nmMWx9CkMtxukKk02n29k5QqlNhSKYX/L0JRxMcuTDMykVW1GoZmx+zUbMij3AwRn6xCaczAEjR1C1h/MAh1I/sRJDM/2Her3TRaztNUdtKdv+0laxPZy/I4D6dSmF//YdoLp2iubCUo8v9/L6Qi19Uo8rLZeL0OWRrN2NTV1GiLma0IYRtcfXeW/4AACAASURBVDb+QIQcpZxudwC73UcyleQiEcRiHdm+BA9ZDFc+293HF4rR3ONkx9oiHlyWz/unBjjYMAgNoMrV8rqqj8/ULGyIBqaO1c8OdHHs0hh5mRp+95XlFGfrcbuCiEtWIc/bTe/3fkSy2IYok5EMhxn75quEWpoxbX8cw/bHaf/LL+M0P0L90jzWVG4CuOk789jqQl7f20ljjoNFBbm33E8V1VZaL4yyeHEFA21vE45rKSip/rXc628VAN7LsuYpoMhms129kq8HdttsNpPNZrvaoLGbqfInNputFmjq6OjwXfn/zwHWjo6Ov7bZbLVXhwXuc5+7gSgIlOnVdHvD85rEMih0fGnpFynWF/L91p9wdPjUvN9Locm7KZ1+fOQYAhIeL9m04G2fjTWLs3D5owx7M8mq/AyW0peQSNW4h/fg7HsDR89PsHf/iInO7xHu/Q5aUUKOWMpTGiWe0AT/cOFV/ubU3/NW13u0ONuIJK7dfLNy9Tz+fB3BQJRf/rRpVumC64n4++iyN6ISJVjV96ZVVClV8GzFE4wExjg6Mr9jIZWIVBebuNQzSUFpBmaLBstIBe2T3YQTkVn7zWLRxLSvajKZmprO/KidfIuGJ9YXTy/njSX4h0v9/K8LPXy9dZD3Bhw0u/x0D7h464fnOfRBB3qjimc+tYxHn65h21PVOCcC7H7zEvHYzNK6umoRqVCQ6PAQQ4EIA4EI67KM89Lack4EeOuH5xnpd7P50UoeeMyG5LpBBZVMQp1ZRzhHzelj/bftoUqnUzj630YpD3P44iIONd/c+H+17yziH5j9NRIJHG/tov+//xn+s2fI2PYoJX/3VUyPbkeUX8sc2iMxvLEES8x3lq04124nGk+y6bqA02zR3uSjali/kaTXS7D50rxfO5wI872WHyM3p0guniDukNJwvH/e66dTKSZ+8D28R49g2v44zh3lpFNSGhqnzjPjsmWEO9pJRaOIgsjK5EbElASXdao/MF+jxB9P4o0leKO3B1FWjTUSRdYwQcB37+zYLnY5SadheaUVg1bByw9X8nefX8va6mwCw35OfNDND/Z1EAjP3XUUCMdp7Xfx4ekB/v3dFv7bt05zvHmMx9YU8j9+a+WMnk1BIsHy3AvEHXbe+6fXOHumg6H/728JXW4l65VPk/n0s/hOHmdQyAGEW4rIAmysyyVDJ+dAWwYy1a2Xq16aSyqVxuFdhVSegbPvTaLhOxsEu1vcs8xZR0dHyGaz/TbwLzabzQFc6ujoOGCz2b4CuIC/B/4Z+AebzfYXQDnwWQCbzfYk8DWg0WazPQWYgd8D5jYpu899FkC5Xk2LO4AjEseqkt92ebVMxe/Wf47vtb7OG52/IBgP8mjxgwsuJ4wF3ThDbRQb6jAo7k4j+dIKCwqZhNOXJ7AVZqAyVKDUl5OITpJOxUmnEqTTiSv/TVIwCvZoMc/lm1mSCHN06Bi90QBHh09xcOgYoiBSrC/AllGOLaOc4twidjxXx+43L/HBrks8+fF6ZFemBoPxEM7wJI6QE3vIweD4KbriCXKlUkgn4R551tVbalhstvF+70cstdZiVNy+vFhbZqahw8GwI8iqzSV8+PMW1IEMQnoXxbP0x7VcGKGtaYy2pjHOHuklqJYRDMT50rNLZqi9n5rwkEyn2ZidwXAwwjmHl1N2DwCyMi2FdZnk5xtBpySdTlNSkclDTyxi37uX+WBXM9ufr0N2xbNxWu+s7TInyuUoJOJNgsmz0XV5gsMfdKBQSnny5Xqy82bfHystBi5M+pnUSTl/coC1W8pmXQ7AO3aYqL+b1rZyBEMxxy+N8dTG0hmyBjKlFVGiIhroR2uemVFOhoKMfeNVQm2t6Netx/zU08hMs5eOu71TlY9y/ey2Q7fjWNMouZkaynLn3lea2jokej3e40fR1i+dc1mYynz+tP1tXFEPX1r6RcaDdo5MdHL+JOQUGG7rHpJOJhn/3rfxnzmN+YmnMO18kokz/0CGkMvBhlHW1eRSsayesffeJ9zZgbqmlrG2MKIxzongER4IrSBfM1Xi3dU3QZ9fJJXo5pXqDbxxwkn7pTFWbvzVZFxuxfkOB5kGJYVZ10rMZoOST29fxNaV+fzD7laOnh/hXMs4j6wq5OEVBcTiSQYm/AyM+xmYCDAw7mfSd+1hz6xXUpFn4JHVhZTf4juqqalFrFxMSdcpkr0NJKRp8v7gj9BU15CKx5n8cA+j5kcoqjDP2Wohk4psW6rhjaMxel0mlt3cUghMDZbkFhppa7JT81vPY+/+Hv0tb2AqfvnOdtxd4F6WNeno6NgH7Lvhd3963b/DwO/Mst67wPwaOe5znzvk6k2gxxeaV3AGU4ba/6XmFX7c/nPe79uLLxbguconFiS8+E7PYSDN9pItd7DVs6OQS1hamUlDu52XH65EKhERBOGWyu0lYTcdw04EYz1WmZSdumImur6P0rwCl7aCDnc3He5u9vQf5MP+A8hEGWWGYvLWljFx3M/3XtuPt6YLR9RJ6IYRdJ0gkK00skISIRoYRKW/9c3/V0EQBJ6veIq/Pvs13u56n8/U3P5CelVSo7l3ku1risjO1zMSUxPGjVU1c18l4kkunRsmvziD2hV5HD/cS2o8wDKphIlOJxadArVGTjSZ4qzDy+IMLQ9mZ9B0ZojUmVGiWhnmWivJLDWDwSg9A1Mel2qphCyVHKNcinFbCV0tE/z0g8s8tLUcs1qBwpiBPDuHiZ4+WkzlrMsy3lQqvZ5UKsXpQ700nRsmJ9/AtqcWz+nwUKhVkqmUES83cunEMIuW5GA03RwQhTxt+CaO4w2UMO4o4NGXSjn1gwYOXRhm5/prwYAgCCh0xUT8/aTT6emHlbjDwci//B9i9gmyPv05DOs3zHlsun0hzAoZGbewHJqLYUeAnlEfL24tv+3DkiCVol+3AffePSQ8HqTGuSdgT42d47y9iZ2lj1JmLMaqzuRnRb/AEs9l/y/beO7Ty6enP28knUgw9p1vEWg4i/ljz2DesRNP1MtEyMHjJY+xt13GDz9s559+fz2CXE6wpRmvsRC3M8Tqh8voCBzh7e73+WzNK4gC9PnDJOJd1JsimEw6CkpNtF0aZ/n6IsQ7sJeai1AkweV+Fw+tmL2frcii42PbKviwYxyrI847x/p470Q/ydS1SkSWSU1Znp6ty/IozNZRlKVDq5KRTKaQ3EZIeaB2K3mdbfhFGZGXfwdNdQ0AvpMnGInriSGjdvnNDf43sqLQy4fKCB80hFi6OH3L70fNslz2vnOZ8VGR7LKPIxfvvlzIQrinwdl97vOfGZNShkkho9sXYu0ChD0looRPLHoOnVzL/sEjeKJePl39EnLJ7QO8UDzM5cnzaORlLM7I/lU2/ybWLM7idOsEzb2TLK2Y25S6QDt1MxkORqgyalFoC9BmriDgPE9JZj1VZY8BU+WcLnfvdLDWHt2DqaiA3P5aNJ2FFKzMx6o2Y1GZMcnkxPp3odOXYS5+mpFLXyHi77lnwRmARW3mkaIt7O7bx1rXShaZ5u5+MGoVFGXpuNQzyY61xazeXMrxix8gjSoZCsw0PW9vHiccirNsbSHGLC3nIzFMRjkrLDrOnxzg4plBbLXZpEqNRJIpSqLws2+fJeCLUlZlYe2WKZsomMq+TEbj9PvDDAQiOCMx+vxhfIkEqaoMXEB7+5T+lUoionnkBRLhMGm45XcznU7T3z3JuaN9TDqC1C7PY+3Wstve9ARBYGWmgQ8jTnQ6GacO9vDYs7UzlomF7UwOvINMlcfZw4WU2iwUZOupLTVz4MIIj64uRHbd8JVSW0zY00Yy5kGqyCDc083o1/+ZdDJF/h/+CeqqRXNuUyKVotcfZtk8MoSzcaxpDIkosLZmfueUYcNG3Hs+wHfqBKbHbhQRuMZ4cII3O9/FllHOtqIHANDJtZSZi3BILmO9uIR9v7zMEy/V37Tf04kEY9/8BoHG82Q+9wKmR6bOqW53LwDVlgosD8l59Z0W3jk5SHllFcGWS/RoliJXSKitLeLRsQd5t+dDut3dLM804Aw7uDh2hFXZXwRg8ZIcPvpFK4O9LorL724LQVOPk2QqzXLbrU3M12UZOTHuwZpn5NmNpZxqHcdiUFGUraPAqkU1i8OCzxPm5z84z6qNJdTMEVxd9ElpXPwxnIKa7KEkNWum9qnrw/cZzdqE0aS6yYJtNpLRUbbYBN5tUtLS55p+QLuR4opMlGoZR4/04DOpyDLrePbudJ3cEfcdAu7zG02ZXkWvP0xygQrgoiDysfIdPFf5JM3Oy/xz47fm5SZwcOgkqXSMFVnr7/p01eJiE1qVjNOtt9dky1MrEJky0r6KMXcrEqkG1+D703o/KqmKOks1z1U+yV+s/mO+uvGv+J/P/zYr1hchjhgos9fzYOEm6izVKFwXkAEZ+Y8gijK0GSVEfL139TPOxsOFD2BVZfJmxzvEk7dX3KkrM9M94iUYiZOZqyaq9qN3ZXNq4JrVViqV4uKZIbJy9eQWGvnJvi78wTivPFXLY8/U8tLnV2GrzaajeZy2t9vIa3HT9F4HSqWMJz9ez7anqqcDM5gKiDKVclZYDDxTksUXFhXwp0tK+KsV5fxpXTHbJEpMLS6K3XFqM7QYlXKEVJI1CmbNJA33u3n7tQvseauFeDzJxm0VbHi44raB2VWWZuoQBVAvy6K/e5Lh/mtZgmQ8gLP3DQRRQTj9ILFomorFU7OMj6wqwBeMceqG75hSWwxAJNCP/+wZhr/694hKFYV//he3Dcxg6nsYT03ZNS2UeCLFyZYxllVa0KnnmQHPzkFVUYn3+LFb9pzGknG+2/JjFBI5n1r84ozs+BJLDSMMsnRLDuPDPs4c6ZuxbjqRYPQbXyfQeB7Liy9PB2YAnZ4eVFIl+bpcltssrKyy8vqedkL5ZcQnJhhp7sFWk41MLmFLwUYyVWZ+3vVLnijMJBo9jUlppPSK60ZRuRm1Zsox4G5zocOBUSundI4ysVIiYVNOBh3eEBKdjI8/VMnDKwuoLDDOGpjBlHZbNJLg5MFuXM7ZtQrjiSSdQx5y66pYs6KU5p5J7O4QvjOncPnTeAQ9NcvybnsNTafTxIIjrKnSYtYreedY34zjHY0ludTj5Cf7Ovkf3ztLbyiG3xFkcNiLyXD39BnvhPvB2X1+oynXq4kmU4wEF6bjdZUH8tfzudpPMhIY5Wvn/w17yHnLZePJOIeHjyOV5LE+9+5nk6QSkVWLrFzsdhK+TaO3XCKSrVbMCM5EiZKM/EeJh8fx28/Mup5apkIqSlmxoZiqumzOnxygtXGUsLeLsLcDffam6Yk9vbmSeMROIn5vJ55kEhnPVz6FPexk/+CR2y5fV2YmnYbWPheD/hHSQhqN30TfRQ/xK0K+3W0O/N4IS9cU0tQ9yanWcXasLZr2zjSa1Gx+1MaKl2rxF2sR7FP9UgWlGeQWLiALKwgYFTIeWFbAo3X5JC/YUV108klbAU++9V3WDcy0chof8fLuTy7y3s+aCAVibH6sEqNJzenDvQT8828M18qkVBk0jMhBa1RyfH83qVSKiL+fgUvfpbNThzHvGbrag6g0sunPtKgog0Krlo/ODpK67iYnVWYiSjV4248z9q1voCwppfDP/xJ59i2afG6g2xdCBErvQJahsctBMJKYMQgwH/QbNhKfGCfSPbs36Nvd7zMaHOeVxS/e1Bu6xFINgMs0TPXSXJrODtHXee3cd77zNsGmi1g//gkyHnp4xrqd7h7KjSWIwlTrwacerSIrQ81PB6aC8IzACIuXTn0WmSjlmfLHGQ/Z2d23j3ZXFyuzlk4HihKJSFVdNoM9kwR8d3YNm41oLElz7yTLKuc2TwdYYzWilko4MHL7MmAinqStaYy8IiMyuZQD77WRTN4s/No57CWeSFFdbGJz/ZTJ+8GGIVwfvM9o7gpkcgm22ttnSRNRF6lkGI0uj8fXFdE35uPghRE+PD3AV3/ayO/981H+adcljjSNYjYoWbOuCEEQ+FhdLi88ZLvt699L7gdn9/mNpkyvRoBbWjnNh3pLDb+/9AuEEmG+dv7f6PPOPrV2evw84USQTM1yctV3Zqh+O9YsziaeSHGh03HbZQu1SoaDkRk3WZVxEUp9Bd7xwySinluuKwgCmx+tpLDMxLG9nVxuOIFUkYneek2XSH9F0+3XkT1bZK5kmbWOPQMHcYTmFscsydGjVcm41DNJv29KB6vAnIVhLJ+G/mYm3CFOHe1DrpFzcmCS73/YRr5Fy87rpjOvctYXJFo4lYUqKjfTeHqIzpY78+mrWZ7Huq1l9HY4OHJ4CHlBIZ4jhwh1tOOcCPDBrmZ+8VojbmeQ9Q+W89LnV2G2aBnsdRGPJTlzeGH7eaXFQDCRIndDAW5nkO6LH2Dvfo3LbUW0dRRzaK+H/m4nZTbrtGSEIAg8srqQsckQzT3X7edkEhxJEikH2jVryPuj/4pEN/+py25fiAKtEuUd6FQeaxrFrFeyqHhhfpK6FasQlUq8x47e9LdGezPHRk7xYOEmqs0336RNygwKdXk0OVpY/2A5lmwtB3e34/OECbY0497zAYZND2Dc+tCM9dwRD47wJJXGaw9naqWUP31lBSMJJSGZjrzUBKbMa8r4tZmLWWSq5KOBg6RJszJ75hDDoiU5pNPQfunu+UO29E0SS6RYXjl3ewSAQiKyOTuDLl9oVr/i6+ludxCNJFi+rojNj1binAhw/sTN18vLfS4kooCt0EiGTsFymwX7iZMEHR7GZDlU1mTdJEEzG7HQlPisXJPH+tocMg1Kfryvk12He/CFYjy4PJ8/fqGer39pI3/0fD07NpVSVGamvWnsV7LruhvcD87u8xuNWiohV62YnhS7U0oNRfzJ8t9BKVXyz43fosnROuPvqXSKfQOHkYgWVlht90wwsixPT6ZByenLty9tFmiUxFLpGTYsgiBgKtgOgGv4gzllRkRRZNuT1WSYoOF8AQnZ1hmityptNqJUQ8Tf8yt8ovnzTMVOpIKENzp/QSJ168yhKArUlJpo7p3k7EA7yrQOR0yLkBLZv7eTv//maULeCO3BCMcvjZNpUPL5nYtnTGcCDAbCDAYjKHt9rN9aziMfqya3wMChDzsYH7mtZvasLFlVwOrNJXRdttNl20lIaeLDH51i1/cbGBv2sGpTCS9/cTV1K/ORSiU0nOhHoZRSuzyPztaJBb1vhUGNXiZlUJpk4/p2lMIF/NFahoaNZOXpGe53k0qmKVs08wa9sspKhk7BR2enAttkIMDwP36VaNMQglZK5svPIsrm39QfSiQZCUbvaErT4QnT2u9mY13OvKRGrkdUKNCtWo2/4SzJ8LWgYjLs4sftuyjSFfBE6aO3XH+JpYY+3yD+pJ9tT1UDaQ6+cYax734LeV4+lhc/ftM6XZ6pALoiY2bmvDzfyM6leUyq81B7hknFr5XnBUHgmYqdiIJIvjaXHM1MuVy9UUVBSQZtl8amDOpTqV/ZqP18hwOtSkblPLPAq60GtFIJ+0fmfjBqvTBChllNbqGRUpsFW00WF04NMDE6U6Kltc9FeZ4B5ZWJ8K1Lc1lub2I4eympFNQsu/0gAEA0OIIgypApLUglIr/7dC2fe3wRX/ud9fzvz67mha0VVJeYZvRPVi/NJRyK095890vFC+F+cHaf33jK9GoGgxGis6TXF4JVbeFPlv8Oudpsvt38I44Mn5z+W6O9mcmIC4V8CbV3qOM0HwRBYE11Fpf7XXhvo0dWeGUoYOiGkq5UbsCQs4WIr5uQ5/Jsq14j5WFZ3VlUajjwgXOGUbogiCh1ZUT8vb/yzWI+GBUGnizbTpurk680/CsjgVtfXOvLM/GH4gwFRgi5tUxGkoRMQUxeCzV6BQq1jP/222t59Y828ZefWkm+9Wa1+gMDTsR4iiqlgprleUgkIo88XYNWp2DPWy0Ltry6yrK1RazYUEx3X4Dj2k1M6osodjWxyXOAmgJhWsLEPuZjsMdF/eqpgE6jlXNif/e897UoCNTpU3T7I4iaMJdaKjhzOhOtXsHOF5ZMSxSMD88M+KQSkYdXFNA+6KGvtYfBv/vfRHp7MK17AoBocPbM8a3o8YVIMxUsLpTjl8YQYFbbpfmgX7+RdCyG/9xUGT+ZSvL91p+STsNnaj6OdA5btSWWqenBS45W9EYVWx6zkd2yh0QoQs4XfnuGhttVutw9qKUq8rQ3b6/UH2NSm48kGaf75IUZf8vRZPGZ6pd50faxWbdl0ZJcAr4oQ30uxr/zTQb+x38n7rh99nw24okUTT1O6isykcxzAlQuEdmck0GvP8x5x+wPCPYxH/YxP9XLcqcfTtc/VIFGp+DAe23Er1ia+YIxBu0Bqq+TKMm295AZ89KnLievyDgjszgXsdAIcnUuwpUycGGWjnU1OWTo5phmLjWhMyhpOLWw7/Hd5n5wdp/feMr1alJpbpuSnw86uZY/WPoFajKreLPzHX7RvXsqazZ4GIXUiEVdRt49KmleZfXibNJpONs2d/bMpJChROBwwzB/9/p5xq8LrHSWVchUObiHPyKVmD3ISKfTuIf3oFSmePz5OhAE3n/jEqHAtd4nlb6UVCJEPHz3Si5zsSl/LV+s+y18UT9fOfcv7Bs4TGoWM+MVVVb+8OVKREWE51at4H99djXPPLkM0mlivjgr1hVhMqhumeG0ByJ0BcMY7GEeeqxqejmlSsb252pJJlO/klH2ivVFrN1SRv3qAj7xuxvY+IkHEANuBv76r3B98D7pVIqG4wMolFJqluUhk0tZ80Ap9jE/Hc2339fpdBrv+HEKPe+SRmDE/AyxdCXRSIL61QUkkyn83jBGs5ozR/rovGEAYNOSXIxinOC//QPJYJD8P/5TjKseQiLVEl2gz2aXN4RSIpK3QN/QVCrN8eYxakrNmG4hZXE7lKVlyHNz8R2fKm2+37eXPt8AH696mkzV3FZe2WorVnXmdJbc0HUKU3icdvMqBj2zB3VT/WalN0nveN1hBronyV23jKQg0vTR8ZuEXZdaaym5MghwI8UVZlQaGV3Hm/GfPUNsbJTBv/8bokPzN7m/StuAi3A0yQrb7Uua17PaaqRcr+IX/XYuu28ejmq9MIpUJlJZfa1XTKGUsnVHFV53mNOHpjLsl68Mp1wNztLpNO7d7zFhXQRIMc0zm5dOJYiFx1Go55dlu4ogCKzaVIJ2jgDu18H94Ow+v/EU6ZRIBeFX6ju7HoVEzudrP8XGvLXsHzzCP57/BkP+ESTSWmrNhntW0rxKXqaGQqt2zqlNly/CrsM9DB0Zpq1pgq5hLydbrmWaBEHEXPg4qUQQz+iBWV8j7G0n4u/BkLMFk9XCjudqCYdi7N51LShR6qZ8L8O+X09pE6Z6dP776j+iJnMR7/R8wD9d+Hec4ZnlFlEQSCqmFMCvmrOXZOWBKkGaNFm5c2c3f3FxCNLweE0eas3MDEmGWcO2p6pxO4Ps/2UbqdTCs4aCIFC/uoC1W8pQa+Ro65ZQ/OW/Rlu/FOfbP6f5K//KQM8kS1YVTPfeVFRnkZWn5/SR3jmDwmQ8iKPnJ3jHDpKdUUSpTkHTeIxJRxBBhP7uSfo6p5Tht2y3TZVqP2hndPBaD6JaKeUxUwB5LMzQ1hdpT2cw4gwi0xQRCfTPO3uXTqfp9oUo1amQLPC8aOmbxO2PsmnJnWXNYGo/GzZsItLbS/vlk+wbOMy6nFUsz6qfdflkPIBreA/xsANBEFiSWUOnpwdX60Umf/kO2tVrSVct48ieTtyTM68nrogbZ8RFZcbNw0AXzgyQTkPd6hKkpRXkeYb4zvuXZ/SDzoVEIlJVm4O06QTIZOT/1/8XQRQY+srfEursWNA+aehwoFJIWFQ0t7jujUhFgZfLc8nVKPhZzzi9111PI+E4XW12KmuyUShnBq55RRnUrcin5cIoQ30uWvtdaJRSirKmzsFg00WiQ4M4C1YRBy7Z5zdgFAuPQTqFXJN/+4VvoLI6i2c+uXzB691NJF/+8pf/QzfgbhIKxb58r99Do1EQCs1dLrrPr5df9ZhIBIE+f4jxcIw11vlP2iXTadJpZu11EQSBanMVMomM0+MNqKRaZPJNPF5oRS+/9/KC4ViCE83jrKnOmqHmPmQPsOtQNz/4sJ3uES8FhQakFQbyRSnD9iBbruvlkMh0pJIRAs5zKHUlSOXXdKFTyRiO3p8hVRgxF+5EEAQ0OgWZWVounRvGMe6nbnk+0ZhAyNtBMu5Da579hncvUEjkLLPWkakyc3rsPMdGTqGVayjQXhu/Pz12ngHfEM9VPIFElDBpD3D5nJ20kMLtC7CoZvYn7s5OB0cjIfKSItvrZ/cVNGSoUKpkXGoYJplI3VZFfj6ICgXaFSuRW7M40x4jJipYneNnxJCgzdVJkb4As1XDpXMjpNPpWd8zHRtlsPX7xCMOMgq2Y8zdilSU0HdsEFkoQf2qQjpbJnCM+1Fr5Kx5oJSSykz6Op1cbhqjpMI8bdYuPX2IgMPNt2I2zrbbOdQ4gsvjpTJzgtePQVNviCG7H5c/QjiaJBiJ4w3GZvwMekI0eANUqVQo4umpUrwgoJCJt32I2XW4h2A4ziuPVi3I4/JGZFYr7v17afV0ESrN4fN1r9zSq9U9vIfg5HkCk40AGA3lXOg9je3nZ5AbTeT/3h9QWGGlrWmcwV4X2Xl6FCoZoihwyXGZJmcrT5Y9hl5xLfhPJlPse/cy2fkGapfnI4QC0HyevYk8BKWSivz5XZPUYgz27SJRXk/eEzvQLl9JsPECngP7UOTlIc+5/TRrMpXihx92UFdqZtWiuazgZ0cqClRnaLnsDnLW4Zvqa5RLabkwymCviy3bbTc9zADkFhjo63TS3Wan1R2kssjEqkVZpNNpxr/7LYJyA22UoM3Xc6bfzcYlubeU6rhKyNNGxN+DMX8bomThWbBf171eo1H81Wy/KRqwIgAAIABJREFUvy9Ce5/7MNV39tHwJP54Ap3s9qdFry/ET3rGSKehyqihOkNLuV6N/LqmcUEQ2Fa0hUJdPgdGfARTCvI0v55U+epFWfz8UA9nWifYub6YywNuPjozSEufC4VMwpaleTy8sgCvmOZ7HSPkSxUcOjXIpDeC+Tp9H0POFkKedlxDu8m2fX664d87foRk3Edm8TPT/RwARWVmNj9q4/CHHfzo1ZOs2FCMUleK33GaVDKGOA+h3ruFIAiszllORUYpr7Xt4iftb3HJ0crHq57DoNDR7xskX5eLTDIVvDaeHkQqExm39CD2lTE+4r3JAikUiPLepWHSRVqetM1dLqlZnodrMsjFM0NkmNVU3WFf1I2fKVpSi1MVwyYO4f7JAfqOKNi/SoeAwPq81VTVZnPp3M3K/37HWQZH9iKVG8mu/Axy9dT26D1R1PYw8mozKzcW09vhwOsOs/yKrIBCOVWqffu1C+ze1czTn1yKSi0j0dmOdUU9//LyJhyeMHZ3GK/XAnSTq3Nxsk/G6dYoc+V+1Pla9LYM3t7dzq5wcvr3WpWMfIuGvEwteRbN1E+mBrVy6lh5A1Gaup08vLLgpkGNhSLV6fGWZVPWPcqKRzfdUkw6FrYTdDWhMdWTTsXxjh1GrrTy1NkQhCLk/OGfIipVaJXw0BOL2P3mJXZ9/zyiKJBhVuNVOMmRVpJyKghLYtNBbn/XJAFflI3bKgDQ1NTh3PUGW/Q+3jrcS0WekfL82xvmpBpPIkmnaJWUsziVRmY2U/Bnf87Iv/4fRl/9Olmf/C0MmzbP+Rqdgx4C4TjLF1jSvB61VMKnbXl8s22I73eO8l9sebQ2jpCTb8A8S+8mgFQm4cGdi3jrhxcwplPUXHmwCLW2EO3vw7HhtxAdAg8+WM6xHzZwqHGEJzYUMxSM0ucPM+APU2XUzBBsjgVHkMj0SGX3rsf3XnI/OLvPfZjqO/uISXp8IerNc6uUNzp9vN0/gUkhI1+jpM0TpHHSj0wUqDSoqc7QYjNoUF2ZACrSlzLe28taq/aelzSvYtIrsRUaOdI0yoVOB4P2AHqNnKc3lfLA0rzpbJo+mUIAtJap5u+mHidbl10rA4gSOaaCx3D0/gyf/SSG7I3Ewnb89jNoTPUotDdnjhYtyUEQ4Oyxfn7xeiMFxTpKcpVEA/2oDHMr+N8LTMoMfq/+cxwZPsm7PR/wN2e/xguVTzHgG2Jt7ipgSrW8u81O3cp8MA0RdcQ4faSXJ1+qnz5m6XSa/R904MlVUaSUkz+P6cL1D5bjdYU5sqcTvVG1IA20W9FwvB+5QkpqZxFH9mrZ0BTkE/v9vCZ7m1xtNqs3l9DT4eDkgW62P1dHOp3CPbKXgOMsBks1upzHpzMJyUSKU/t7kGjl9FmVRNNpNjxcwb53L1NZcy1zojeq2P5sLe/+5CIf/LyZRzaYSAb8aKpr0apkaFUySnL0pNNWRlsPsLEqydOPrSeeSOH0hnF6I8RnkSY4EQzgS6Z49rHF0/vY5Y8y4ggw4ghyvGWMaOxa0JahU5Bn0ZBOpUmm0my8CwFvPBnnYEWKHcMyIv/4KuPrm8l8+lmkhpkBkXf0IIIox5j3EBKpmpCnmol3foB1OMTwugxKcq4FNAUlJj7+hdXYx/w4JwJM2gPYhyWYY+Xs7m8GQKOTk2nV4vVEMGSoKLyiXC/PzUVqMrFcnOSUoYRvvNvCX31m1YwM+I2kolE8hw5A2SIcMRXD/S4KS81IdDry//jPGP3G15n40fdJ+H2Ytj9+y+vQ+U4HcqlITcnc/Xa3wyCX8hlbHt9sG+a1kz1oPBFWbZrb/9OSrcNYYiTd60aXmJo4nXz/l5Bhoc8lobTKTFwjpWx5NmdiIS5e6CVxpeyrkoj0B8LUmrRorzxcR0MjyDUL6zf7z8T9suYCuV/W/M/H3TgmWpmEUxMeJILA4ozZn+7S6TQHR128P+SkWKfiM7Y8lpj1bMjKoESnmu5ba5z0c2LCzYA/QiyVZigYodMbYkehBcOvoaR5bXvhVOs4aqWU5x4o4zPbF7GoKAO57FrJRioKtLoDIBOJjIfwh+OsrZ4p7ihTmolHHAQmL6A2VuMe3k06GcVS9iKiOPsNIzNLx6aHKonFk/S0uejtz8bj8pKVl4NCuTDvxHQ6jccVYnzYh3PCj33Uz8SIj9EhD8MDbgb7XPR3O+nrdNLT5mBs2EtWrg7pdePxgiBQYiik3lJDp7uXw8MnSKZTPJC/njxtDmeO9uGcCPDwk9XoNErO2M8jDOrJzjdgyJgKXJsbRjg76iKUo+GpkiwylbfPAoqiQHG5md4OBx3N45RVWRb8+a/HMe7n5MEeNFUx9oU/JKuqnvUbnyNy+BhqZPxS2snaghWo5UpaLoxiyVIR97xPyN2MzrKG8voXCUeuBUmNpwfp7XCw5rFKmuNR9HIpNQUZLF1TMJ3ZuYpGp7hSNh3GOTRJ5ngzWZ94BVE50wkhHh4n4u9DZ12LRCKiU8vJylCTY9bM+LFmqPlozEVtppYtZVZyzJorxuUG6issbFqSy441RWyoy2FxsYkCqxaFTMTpidA/HmBxcQbbVt5sVr9QztubOOpvZu1Tn8ckN+A9ehjvkUMIUinKomIEUSQSGMA7dhBD9uZpO7LEiAf3z/YgVGRiWafH525Brc2fLv8rlDJMFg35xRmYS2XsSvyI9WsWsa6uBrNVg1QqweMK43WF2bStErNVM70PY2OjhJqbWPXZFzlwYYQhe4BVi7NuGVR5jx8l0HCO3M98ls6hGCF/lIrqqeBakErRrVhF3OnAs38vqWAQdXXNTa+VSqf5wZ52FhVmsLYmm5jdju/EMZxv7cL1/nvoVq9GVMw/86+WSijXq2g7MYAkmWLttorb6tjtbx0n6YviHvaRL3UT2PcBHct24vFJ6CzWcDYQJKaUkIylKNUoebw0iyeKrNSZdJya8CAgUG5Qk4wH8Y4dQnuLB8j58B9d1rwfnC2Q+8HZfz7uxjERBIGRYJQ+f4T1WcabLlyJVJpf9E9w0u5lqVnHS2U502bUoiBgUsqoMmpYn2Wk0qBGKZEwGIjQOOmn2xfCKJfyWEHmry1zBlBg1bLCZuXJjSUUZ+uR3KIvZzQUpdsbYpFKSUO7fdZSkUJbQGDyPCF3y1S/Uv4jKLWzT45dRa9XYTCrWFyfS9DdRn+vnJbzY0RCcTKzdcjkt75QB/1R+rqcXDo7xPH9XTSeGqK7zU5vh5P+7kkGe10M97sZHfRgH/XhcgTxucOEAlFGBjx0tU5gzdXfZEitlWtZm7MCQRDxxnw8XrKNVFTg4O52bDXZVFZnYVaa2O/Zh8GZi3s8zKIlObgcQT56txV/fSYZGgU7Cud/LKVSCQUlJtqaxujvnqRicRZS6Z2V4o5+1InHH6Qx9wBr85bzyuIXUFqySHg96Bo66MqTcik6wI76zfS02xnoHCTX0oKp4FEMOZvQaJTT54rPE2b/u5cprjCzYWMp7Z4gI8EIqyy3HloxmtQo1TJa2zwkDZnYHlp5800+GSHkbkFtXIRENvuDDkxZNp11eNmck4FVNftNXxAE1EoZ2SY1FflGltusPLA0jx1ri1hbk31Xzqc3On6BVJTw9KKn0FbXolu5mujoKN5DBwg0nENqseILHQfAXPw0giAhGQwy/LWvIqrVFP7x/+QnwycokaSJTl4glYyg0BTO0PxrcrRwyXmZpysfxapPYdA7sJqHKMjtpayog8LSLATZtYeidDKF/9QJclctw5CXzf6GYRRyyaz9Z+lUivHvfBOZxYrl6WdIp9O0No5htmjIuCI5IYgi2vplpCMRPAf2EZ8YR7tkKcJ1Uhndwx5aT1zkMXGQyC93MfnO24RaWxCVKuIT4wiiBPWixQvat+lQnMtHBwgUammXpakza5HeQp4jnkjx2t4OymwWYvYgw+1D6FJ2mjX1iBo5i9cUsDk3g52FFk4c7CfmivDMmmJkoohGJsEZiXNx0scKi55UaICQuxV99sZpx5KFcj84u4vcD85+M7lbxySSTNHk8lNn0qG5LrsUTiR5rWuUy54gD+aa2FFouWWgIwgCBrmMCoOatVYDNRla9HIpKy0GMlW/vn6rq9ui18hvewMLxpM0uwOszjLScNlOSY6eHPNMHSFRokCUKAm5W5Grc8ko2HHb1716XKQyCZlmF5m6E8i1S2i7NEHLhRGSiRSWbB0SqUg0kpia1LowwslDPZw50kdfp5OgP0pugZG6FfmsWF/EkpX5LFlVMKUFtr6IVZuKWbmhhGVri6hfXUjdygIKSkz0djhpbhhBKhXJytPP2FZRECnSl2DRLCFHreXi6UFGBz08/ORilCoZoiDii/voDHQhGcpAn6HixIFuQno5k9kqHsk3L1j2QamSYc3R0dwwgmMiQPkiy4IDi/ExD6cP9jGR08W6uhqeq3wS8cqNTlVege/4MSo9MvZa3aTjLsrk4/T1Z5KRXUPJ4hUzjgnAwffb8XkjbH+2dqpMSprzTj9VRs2cQyuZGTIce/YyqC5HJpeQfUM/lChR4necQabIRDHHpFyD00e/P8xTxVZk89TTuoogCHclMBsNjPNu74c8UryVMuNU2U2i1aJfsxZFcTHB5ma8B/cTH3VirN2KylI+1aT+7W8SGewn7w/+GGVWNh0BO/s84zyQu5KA8xwhdytSpZlUIkjY24lz4iTLZSlU3iYCzvOEvZ3EI06kch2CIMU/2YbWvAzhSiZaajDi3rsHqV5P9dbVjDqDHDw/wuJi002yIcGLjXgPHcTy/Iso8wuw5uoZ6Jmku81OVV0O0ivXMkEQUFfXIMoVePbvJdLbg6amjlBHG+6PPsT/5ussc11GNj6IPDePjIe2kfXyK5h37CQ6Oor/zCkMm7fMqt92KxpPDzEx4mXzjirOuv0MBiLUmrSzTuae7nXSmYgRylWhd08QjRmIFdiI+mHrgxWsrczCopQjl4ik02mONo1RV2ae1iyzquScvJI9y0l0Ew0OkVHwGIKwcNcJuB+c3VXuB2e/mdytY6KSSjg54SFTKafgikCrKxrnux3DjIejPFuSxbrsjHnfFARBQCuTUqJTzasE9h+FUiLhlN2DQadgsNuNRBRYWnFzQ7BclYMoUWHI3ohEensPxOuPiyhREPGcoby6nMUrlhD0R2ltHKWtaZS+Ticn9nfRfdmOyxHEbNFQvTSXNQ+Usu7BcsoXWbFk69DoFKjUchRKGTK5BIl09ok+rU6BrTYL92SI5vMj2Mf9FJRkILtykwrEE3y/Y4RTdi+N4158p0YoqTDPUB03yPXsdX1EfqCCnhYn4VAccUMeCVHgmZKsBcs+wFTflloj59K5YXyeMIWlJsR5NrNHElF+/NZhUhGBJQ9bebz84ZkBp1yO1GggdPgotvIyClXjqLUxonEbvV1hqupykMkl08ekv8tJw4kBVm0uoahsqr/IrJBxyu6ZHnK5FcGWFmSH3yZdu5qWS05yCwzTgrUAolRJwNVEOp1Ak1Fzy9fZOzyJXi6d0cQ9XyaCdnwxPzr5rTNz8+HD/gOM+Ef51OIXbxoEkGdlo9+4kaDvIok2N6FTLaRjMaIDA3gO7sfy3AvoVqy8srTAyfEGagq3kWddTtjXScBxluDkRSK+bqSpKHGJmmzLSrSWVRhzH8SY+xBa81IU2gL89tMgCNPSM6JMRqjtMrGREYwPbKW6xMyZtgla+lw8UD/T8HviR98HIOuTv4UgioiiQFbu1INA0B+l9LrmfkEQUFVUIDWb8RzYh3vPB/jPnCY2PkG/OoeBitWs//MvYXxgC6rSMiQazZV9kYXnwD5EhQK1rWpe+zaZSHHgvTYKik1sWFOESSnj+ISHiXCMGpMWURCIJVM0Tvp4Z8DOeV8QqUZKvUnN2sNv4pOamIxqUKqkbNlum34QAcgxazhwYZhoLMmyKxZTGpkERyTGxUk/i4RO5FIZesuqhX0hrhAIx3F4I6hk915t7H5wdpe4H5z95+NuBmeNk35iqRRLzDqGAhG+2zFCNJnilYrcW/ai/d+OSiohmEhy1uEjDwmdgx62rSq4KfARBAGFJh9xHoEZ3BicqQlOXiSdTmDOraesykpxuRmvJ0IykcJWk82qjSVsfLiCqrocsvMNaLSKO86OSKUSyqosqDRyWhtH6WyZwJKtI66U8J32ESajcR4tyMTd5oSJEO4aEzkZ6umMkU6upWXyMlFZGNlEBqWr87gkTbE5J4Ny/fzUyWfDkq1DFAWaG0YY7HVRWGq6SffpRgKxIK8efx1FZw45dUp2rt4063LyvHzCoXY0xWFCSPmh18fG2rUMNPuIhOOUVGSi0SjwesN8+PMWNDo5W3dck6GQiSLOSIwWd4B1VuMts8PuA/uJjY2y9EufobPVjscVxlYzs08xHp4g4u9BZ1036zEMJ5K8P+hgWaaesgXaNg36h/nH869ybqKRjXlr5lTxn4tYMsaP2t6gzlLN6pzZNa2C7iaiql4s2z4OERHvoQOE2lrR1C3B8tInpj+bSZnBoaFjSEUp9blr0JiXIlVkoDEtJWVezld6T1BRsI2q/M3IVVYk0msCxxKZFhEvPsdFtOal0xPNSa93Klu16QEUWjUGrZxDjSNYjCoKr2iARfp6mXznbcw7n0JVUTG93WqtglQyTcuFEazZuhlTuwDKwiKUZeVI9XrMO58k8vDHeLVbzoaHl1NScPMwgNRgIDLQj7/hHMYtWxGkt++b7G6z09U6wcZt5eiNKrLViukHYFckTn8gzK6+CZrdAZQSCdEhP5qJCC+JEwRPHsf2zMMMOAXqVuaTVzTTN1UmFfH4o5xsmWDz0lwUVx68rCoFJyc8JON+KjL0dzSAlEyl+OpPGznZPMaWpfd+oOBWwdl9Edr73Oc6yvQqen1hLrn8fLt9GIVE5AuLCii9A9+//5t4OM+MWiohpJPiC8YYGJ+f0ON8Ea5kBSL+PtJXFPst2Tq2P1vLxz65jFWbSsgtNCK5w16sW71nzbI8nv7kMqQyCe/+9CI/eL+FUDzBZ215rMnUoxn0o8/V4VKKvNo2xM97x/HFpgRcV2evoE/VxuYXiwgU6ZGJAqstv/q05fJ1RTz2bA0+T5if/6CB4SuK6LPhjnj4xwvfINmlRyIT2LFl9kxAOp3GM7qPdFWc1FAE/Xk9MrmBnw7/jMqlFtovjeO4ckwbTw3i90bY+HAFkhsyd7UZSqLJFF9r/CWjgdmdBkKtLahtVchVU7ZVw/1unBMzFeGVumJSycgtnSF6/WHSQPkCLZvsIQf/dvG7yCQyAvEgB4eOLWj96zn//7P3ntFx3ved7+eZ3gtm0HsHCJBo7E2kSEqkCqleaLkpceLjJHeze2M7Obubu7ln77nZOE52k90bb7x2IlvVKhbVSJFi7wWFAAEQvbcZlOl95rkvwAahU6SkPZ7PS8xT5z+D5zu/8v3ZGvFHAmxOWz/n67FoCOfISZTaTHSZNaT+3h+Q+Rf/AdOOXaR89/dniE6FVM4KSzGN9mvExBgSiRydpQqNqZhOjw1gTvPZm6QVPIwYi+AcvX0/mvKVAHibp7s7V5ckkZ2s5/3TPbc6X6cOH0KiVmPYMluw12zKJiFRy8lP2wgGZpsSa1eUkfjsC2jLV1LXPYUgQFWhddZ24XCUkQEH5kceI+b14jhxfN77uJNrdUMYE9QzhNXGZBMPpiVwddLNRZuDIqOG75Vk8Hv5qQy1TLAyzcDEhwdQ5eWRtH41L/1gPdUb5q5tfbA6g0g0xumrw7f+lqRWUGaU0xTLI6K8O2H1yfk+ekbc7H94aRHC+0VcnMWJcwcFBg3BWIw3u0ZJ1Sj5fmkGSV9yrdhXgVom5ZFMKx6dFEGAho7xe34OlSEfMRog5BtefON7SGKKntVPryCQrEHd4aT0uptEQUJb0yh+b5gHtubxf67KZmuKmauTHv6uqZcTw5NUJlYgFaQ0Blu5OummymKYUYv4RcgpsPL0t2tQaxV89FYj9Rf6Z7nqj3pt/LT2/8M/GcUwmUzlmqw5Oz1jsTDjPW/jtl1AZ12DXrKWwKVaXlZswB8JUKs/iUoj58yRDsZtHuov9lNUljzjoekL+/ik5wi/aPp7ojEnjoiFf6j/Z0a9M6dMhOw2wrYxNGXT6coVlWnI5BKuXp45JkipywEg4Jl7PmGH04dCIpC1jNo9R9DJf2/4XwD826rvU5FYztH+U3hC3iUf407ODF0gRZNEgWluiwe3/QKxiAdT2s5bQkydX0DSi99Aqp/tnVWRWI4z5KbPNfO9aJ/qRi/XkaJJmvdaVBorOksVnolaIsHpyRXKzCykRiO+a9PiTCIIPL0tjwlXgBMNQ4TH7bivXMa49QGk6tnRbKlUwvZHivF5Qpw/vvCEjto2O8WZJvSf69CNRKJ88nYT77/WwNlrIRSlK5n69BCx0MKZCvvodEd1eVX6rMjpjrQEvluUxo8qcnkhP5VcvZrWvilEoMTeTGRqEuuTzyAIwqwfD3eSZtVSmm3meP0Q0djtDuQNeicRZFzxLd/4uX/MzQdne1lbmsTmiq/WhiMuzuLEuYN8gwaVVEK5Wcfvl6Tf8sz5XaDSoicvQYfCqKS+8z6IM/30QzDg6mIiEOL0yBT/s3WAD/ps9/xcd9I85eHV3jGoTmTtrgKmRtz85pdXqD3XR1KqnvRsEyqplN2ZVv60PIsCg4bDQxP8vM1OrnkTVycDREWRzSlfPGp2J6YEDU9/q5q84kQunOjm8PvNt8YuiaLIL669SiQWYZ13B3KFdNqDbQ4m+w7gd17HlP4Q5ozdJOx5DHlyCrF3P+algqfo8fUgFE0xOuTi1Z+dRyaTsGH7dG2TO+Thg65D/Mdzf83HPUfIN+WwISkBqTQFQVbNf6t/lTHf7QHavmvXANCWTUd1VGo5JStT6Wyx4XXfnqkqUxiQKRPmnbPZ6fKRZ9DMmzr9PL6wn//R8As8YS8/qHiZZG0Sj+c9TDAa4tO+Y/PuJ4oiYmx21GjQPUyvq59N6evmTLtGw15cY+dQG4uXbMVQbilBIkhuzdq8ef4ORxeF5rxFU/SGlK2AgHN0es6nIAhoy1bibW5GvCE+ynISKMky8dG5XuyffgoSCaYdu+Y9ZlKqgYq1mbReHWGgZ+4I7fC4l5EJHzXFM8VjLDY9uWC430F+SSJd122cVa7FEZTiPH1ywXtprh9GJpNQvHL2lAFBECg0ameYfbf0TmKQiQhnP0NTWrbkrtCdNRlMuoI0dNwez2YMD1IgGeTSRAhvOLrA3jMJR2L8/KMWdGo5Lz1UvOT97hdxcRYnzh1oZFL+ojKX/QWpy+4g+98dQRDYm5WIwqpi0OZh0jX3wPO7QRRF7CEp9dIN/GLYwE+b+jg4OI4jFOGCzUnT5L1No97kks3J650jpGqU/OGKLGpqMnj62zWoNHK87hBV67NmPDQtKgUvFabxe8XpKKUS7OFikJajlkwSiU7d8+uTK2Ts2reCDdvz6Wkf571f1TE14aN1sp1h7ygPWx5mpMvDytXpqOYwIfU7O/A5WjCmbsOQtB5BEJDI5SS/9C3CdhvZV3rZlbWNy/JTqBMEXM4Aa7fkEpYHebfjQ/7y3P/L4b7jlFqK+PM1f8r3V32XPVk5VFn0SGXFoHiM/9bYQOvkdATN29yEzGpFnnz7obtqTQaxmEhT3dCMa1Pqcgh4+26lsW8yGQgzGQxTsMRSgVA0zM8a/4Uxn50/WPltsg3TYilVm8y61BpODZ1nKuCYtZ8oikz0/ZbBaz/FO3ltxmtnhi8il8hYlzJ3rZlz7DRiLIwpbceSrhFAI9dQZMrnqv3arSio3T+OI+ik0DR/SvMmMoUBfeIavJONhP3TglhbvpKYz0ugpxuY/o4+vS2fkNuL8/Qp9KvXIk9Y2DB2zeYcTAlqTh5sm3Pmam379LluFtbD9Ht3/JM2ejsmsCRp6Wkfp7QilQhSrmQ9RtPxZqLzRM+CgTAdLWMUliUvydNPFEWaeyZ5ONpJzOPB+tTTi+5zk4oCKxaDkqO1t6OVQd8QG3SThGMiZ8aW/p09cKaHIbuX7+wpWdDw98vid+vpEyfOEvhdE2V3kqJRsuHGL+jjLSOLbL0wMVFkwBPg0MA4f9fUxz8093MxmI0s5mdPuok/W5XDn63KIV2j5ECfHU94/mHdy2XaMHiC9/tsFBo1/F5xOpobBpgJiVqe/nYNe1+sILdodo0NTEdQ/6gsi71ZVnSyEFPes/zni3/HKy1vYvdNzLnP3XJzyPljz1fg94V571e1HLtSi1GhJ9imRa6QUrFmdvQmFgszOXgQmdKKIWnjjNc0pSvQr9/A5MFP2K1ZRamliGsZp8lfr6dZe5m/PP/XnBg8S2XSSv7Dun/H75e/RKZ+evaiUirh2bwU/mxVDpUWJaIknV93ufjnlh66p9xoVsw0MDWa1eQWWWmpHyZ8h5u/SpeDGA0S+lzdWceNgdiFSxBn0ViUXza/Srezj2+veIGShMIZrz+auwtEkU96jsza1ztRj2/qGhKJkom+9xjv/S2xaIBAJMjl0TqqkyrQymdfQyQ4hWf8ClpLFXLV3J+P+ahMKsfmH2fkRjq4Y2paVC1Ub3YnhuTNCBI5jpHpui7NijIQBLw3UpsA+WlGHlUMIY2EUGxdXDzK5FK2P1KC2xXk4snuWa/XttnITzfcsqQQRZGzn3XSfm0MpUrG1LiP5HQDLQ0jGEwqEhOUNOsqOfzrc4RDs7+zbU1jRMIxyqsXn+UJMDblxzflJLe3Dl11DarcvCXtB9Mmz9urM7je72DI7iEWCxP2j5Gqt1CeoOP8mGNJ0bPOIScHL/axZVUqFQXLW/P7xe/uUyhOnDhz8kRpGnK1jNMtY8TEhSYjzk1UFDkyNMGPj1/jn1oHODM2RYJSzr7sJP5doYInZJ9RoxknQSlHKgg8k5dMMBrjQJ99Vt3V3RATRT7st/PZ0CRVFj27P+hMAAAgAElEQVTfLEibMfMUQC6Xkp69sC2KVBBYn2zm31eX81fr/5AdWVuptzXxf1/8Ca+1vsNk4N5G0jJyzDzznRrURhnS+jRWDG+mp22clTVzR81co6eIhhwkZD6CMEfHYuJzLyJRKrG/+mu+s+JFtCYZB2JvcW70EutSqvnLdT/k2yteIEU794Brk1LO8/k5vFxkJBpuoN/l5uDu53m7dB1Nk+4Zn43KtZkEAxGuN90W9Cr9dCH351ObnS4vRoUM6yJRFVEUef36uzSNt/Jc0RPUJFfM2iZBZWZLxgbOj1xh1Hs7PR7y25gaPIRKn0da2Z9gTN2Gb+oaI9f/J00DxwlEg2xOXzfneR0jxxGQYExdeA7lXKyyliEgcNU+Halrd3RhUOhJ1ixtVqVUpsGQtAG/8zpB7xBSnQ5VXv6tujMAMRKheKSJXnUKRwaX9n1JyTCyanUG1+qGGe6/HWW0O/z0j3moKbqd0rxyppem2iEEAaQyCfv2V7JvfyXb9hQzPubB4Y2RF+qm1ybyzr/WMmG/3QwiiiLX6odITjdgTV7aTMvmnkk2TF1DEglheWLpUbObbK1IQy6T8PaJLnyuQUBEqU3nwbSEJUXPgqEov/iohQS9ihd2FC647ZdJXJzFiRNnBiqZlLJ8C65xP2eHlydAQtEYr3WMcHx4kiyDmmdzk/n3lXl8tziddUlGLMZMBImCgOv2L/hktZJd6Qk0T3lonPQscPTFidxo5rhgc7IlxTTtSbbEuqaF0Cm0PFnwKH+14cdsSd/ApdFa/ur83/BW2/s4gs4vfPyb6I0qwmv6cSYO4e4WpqNma2dHzUJ+G66x82gTKlDpc+Y8lsxgwPr0c/jb24herucHFS/zbNn0PewveYZEzdLmJxaa0vmj8g2suPwvrD/9CX65nDe6Rvn7pj4u2pxERZGUDCPJaQYaLw8Si00LBqlcj0xpJeDpvXWsmCjS5fJTaNDMKYwbLvbT3z1dG3Wg6yAXRq/wSO4utmZsmPf6Hs5+EIVUzkfdn06fIxZmovddBKkSS/YTCIIUY8pWkou+i4CExKlL7DGYydHPruEL+YbxTV1Dn7T+rgZmG5UGcgxZt1KbHVNdFJoWrze7E33SeiQyDc4b0TNt+UoCvT1E3C4A3JcvIboceKs2c6xukAnn0soP1m7NxWBScfyT64RvRJNq26ZTmjcHnddf6OfK2ekmjvRsE8+9vJqUjOmJEaUVqTzzndXoTRpcIRlVw58ScPt575U6rjdOi/Khvimck37Kq5YWNQPoaumj2tmGYcMmlGlL3+8mOrWcZ7fl09Q1weGzlwBQaNJJVitvRc98kfmjZ++c7GJsys/Lj5aiVn59aozj4ixOnDiz2FGWAjGRj5uGcC8x3egOR/j59UHanF72ZifyJ6sLqLIabg2ABxAEKSp9Ln5314wo2eYUM5laFR/02W5ZWdxEFEUmBw9h63p9wchaJBbjtc4Rrk152JNhZU9mIpJ7PC7LqDTwXNE+/tOGH7MudTVnhi/wn87/F97t+BB36IsJS5juSLwyXk/eZh0795ay8/HSWVEzURSZGvgYiVSJKX3+YnAA45atqPILGH/7LayihmfLH8OsWn5jQ5YhgzWTaoz2Znz+93gi24haJuFAn43fdI0SFUUq1mbgcgTovaPTV6XPIejpRxSnH45D3iCBaGzOerP25jHOH+/mxMHrHOk5wZH+E2xN38AjOTsXvDa9QseOzK3U25vocw3gGDpMOGDHkr1vxvgopTaDcPqjNIfCrJKGsXW8Qjg4s0jeMXwUiVSNIXnj50+zZCoSyxjwDHN9sgNnyL3klOZNJFIlhuRNBNzdBNw9aMtXgijia2meXvvDB1GkprHlyQcBgQNnepZ0XLlCyrY9xbgcAS6dmt6nrt1OVrKORJOauvN9XDgx/aNp9eZsHnu+YtZ8VbNFw1PfrCZ9+wbk0SAr+w9htmo4/kkbxz5q5erlQVRqOfkl83em3kkkGsNy9SQSRCz7nlj6m/Q5dq7O5I+fWolONoEzoKJ/fPrzdit6Njr3j8zW3kmO1g6ysyaD0ju6lz3hCGPee1dzezfExVmcOHFmUZxlRqmQ4rH7ODSweOem3R/iZ60D2AIhXipMZX3S/AJApc8jGnIQuePBKBEEnslNJhwTeb/PdkuEiaLI5MBHeOyXCLg68Tta5zxmJCbyRtcobU4f+7KT2JJqnnO7e4VZZWJ/ydP8X+t/SHVSBccHzvCX5/+apvGWL3TcEwNnEUWRB7O2ULgimZw5fKe8kw0EvQOY0ncilS1ctyVIJCS/9G2iPi/2d35z19cVdbsRB0dIq9qIM+TiUPev+Ea+id0ZVpqmPLzbM0Z2oRW9UTXDVkOpy0aMhQj5piMrHS4vAswynnU5/Jw+3I7OoMTrDnHi8lWqklbxbNG+JUWdHszaik6u5XLXb/GM16JP2oDaUDBruzMjdXwWiGHI2ks4OMHo9X/GM9GAKIr4XV0E3D0YUrYgkS5vPNedVCRO24y82/khAIXLFGcAOutqpHI9juFjKLKyker0eJsa8V9vJTgwgHnXw1jNGh6sTufstRGGxpdmJ5KebaasKo3Gy4O0d9jpHHJSU5TI2aOdXDzZg0Qi8Miz5azZnDvv+y6VSdi4o5CERx7D4B1F0t1MZl4CbdfG6O+apLQidZZfoSiKuJ3Twr3ubDtNZ37FtQsHqT96mTJHB5GqDcgtX6zWq6ookZLUAGMeI3/9Wh0XW8amo2dmHefmiJ75AhF++UkryWY1T2+7Mcw+JnJ6ZIqfNvbxs7qlid77RXxCwDKJTwj4+hFfk3uPRCLQP+ZhbNTDlEVOvkGDWTl3jVCv288v24aIifByUfqtB+986yKRqfHYLyFXWVFqb3sJaeVS5BKB8zYnCUo5KWoFUwMf452ox5C8mWjUR9DTh85aM+PBERVF3uoepcXh5fGsRNbfxTigu0Uj11CRWE51UgXtU51cGW1gY9oa5NLld3sFIgH+teUNyq0r5q2Hioa9jHe/hUKTijlj95KEi8xoJBYI4Dx+FOOqlUS1xkX3+Tyeq/V4aq+Q+fw3Kc6p5vTQOeqGOnG1m0hSKGgJBfFEopSYtLReHSUrLwGdXolUpsVtO49MYUaly+LI4ARamZRNKbfFcywmcujda/i8IcofN9DdbcPsT+a7ex5fsvu/XCJDKYbJ93UgKC2k5D6HIMwUCP6In19ff5vVyZWszdqB1lxOyDeEx36JcMCOz9GMIJFjzd43a9/loJVraLA1MeIdw6gwsDdv8XX6/HdFEKRIJEo8E7UotGnE7D58LdcI2+3EAgGSX/49BKmU7BQ9x+uHmHAGWFs6d+3gnYiiiMKgpO66jbPXbXijIrkI9LTakculPPvyalLSl/b5MBXk4Lp4Ab13jGuhDJLTDSRYtazenIPLEWCge5LrTaPUXxjg3LEu6i/009k6RkrCRazmEZSyYeSnz4MrQn9+DSM2CaFgBKVShuIu0ouRsBv32CkyctbTPa7l8OUBojGRLcVJXLA5kQgzfxT8+nAb7QMO/s0zFViNKtqcXn7dMULjlIcCg5qXK3ORRGILnPHeEB/fdI+IC4GvH/E1uT+EwlEut9hITNXRGwqxxmqclSZsmnTzWucIBoWM7xVnkKxR3nptvnWRytR4JxsRY8FZsxcztCq6XT7qJtzkhi4TnryCIXkzxtTtSGUaPOO1yFVWFOrptElMFHm7e5RrUx4eybTOeOh/megUWnIMWZwYPIsn5GVV4tJ8mu7k1NB5GsdbeKnkWcyquR+QU4MHCfmGScx/EZl86ePE1AWFuC6cx3n1KobNWxGW2ZE89ekhwpMTJL2wH4smAaOYxoljEkZtIQYGXEgngwyEQ+jTdIS7Hfh9YfJLkpBIFfgcLcSifmTGcj7st1NlNcxIa9Zf6Od60yimmhAfON7HrNEjH7aQlmHGaF7aqDBRjKG0nSQSdnMoLGdN2oZZguj88GUax5t5seRpTEojEqkKbcIqJBI5nvErxMIeEjL2oNCkLuu9mQtXyE2no5uV1lKqklYtuv1c3xW5OgnfVDNBTz8aw0rcF84TtttI2PMI2tIyAJRyKdGYyPH6IcrzEkjQz4z4+QJh2gecXGwZ5dDFft442sGhSwPYIzH8UZEMiQSJI4hKLeOF762dMSN1MQRBQKJSE7h4hvR1K2kbjOLzhGi8PEhz/TC9HRNM2r0o1TIyss2UrEqlssKGVtGOKf0hZP5CfAfPIqkykbraiVTsobvdxrkTk7Q0jGEbceP3hDAmqJHJFjd/Drh78DmasaRvZ3NVEVOeIJ9dGcQxFSAzy0jjpIe1SUbkEgkNneO8fbyLRzdkU1CQwNvdYxwfmUIrl/Jsbgo70i0km7Vf6eDzr0/1W5w4cb5WrMq3IACpQejxhzhnc7DlDvFzZnSKgwPjZOpUfKsw7ZZVxVJQGfLwTjYhxqIIktv7SQSBp3KS+IfmXj4ZV/FCykaMqdsRBAGNaQUu1WmcI6fQmFYgIvBuzxiNkx52Z1jY/BUJs5tk6tN5MHMLn/WfZG1K1bLSWdFYlOMDZ8g35pBrzJpzm4C7F+/kVQzJm26J06UiUSpJ2v8Sw//9vzF15FMS9jy65H1FUcTbcg1NaRmCRMKg3cNbH02gkmiQrDwPQS2MrsTROMGnvW5qUrR0t9lxOfwYTGqUuhy8kw10OT3ERGYIM9uIi0unewgnOzglnmNdag1PbXqc9wYauHppgKy8pbm8O0dOEPYN4TFV0NJ7lqvjzVQm3hb+oihyZvgimbo0su5oBBAECYbkTdOjxTy9aBYY1A4wMuHlyJVB9m7KwaRTzrtdVdJKDvUeZUXC3ZuZCoIUY+o2JnrfQ0ifflQLCgWmbQ/O2O6hNZkcrR3k3RNd/PDFKrpHXJyoG6J7xMXIhO/WdqkWDavyLeSlGclLNdB6oY+e6+OoNXKe/e5qtAvcz3wY1q1n4sP3UbWf46mX/5SmK0NoDUqsSTosSToMJvWt2a0Bdze2zvNoTGXoE9fR/+pP8UsUDBR/h22ZUeTjteh1XZSV9OL0ZtDdlcTpFhWtjSM88Y1K5IqF5UrIOwiCBIU6BUEi4bt7SshI1PHWsQ7S/UEiRUbOjE6x0WLklYPXSU/RIcvW84/X+lFIJTyaaWX9AjNlv2zikbNlEo/SfP2Ir8n9QSmX0twzidMZpKAwgbpxF1VWAwqJwMcD4xwbnqTcrOOlwlRU0tnCbKF1EcUYvqlGVIY8ZArTHX8XCY59Bt4eronFJFkKydBN/5oXBAGpTItn4goyhYWPx6Buws3OdAvb0pY/quV+kGfM4cpYAy2TbWxMXYtUsjTBWm9r5NzIZZ4t2kuKdrbwEmMR7N1vIkgVWHOfQRCWP0ZKkZKKODbE5MmTGNatR6pZ2gD30NAgU4cOYt71EKPKBH7yRj1SqcCf76/hwaIKRmNdjGouYTGqCU4aGB73k4yAyxuisCQJUYzgm2qiKZaPPQR7s6cbNULBCG+/folALMBQST3fXPkcu3N2oJDJicVEWhpGyCmwLCoaAu4eJgc+QptQSXb2Y9TZmmif6mRz2joQBUSgz9XPp33HeCR31y0T2zuRyvUotZkLph+Hxr38zRv1tPU7aOt3sL4sBdk844UMCj3VSasoMucvKfU833dFrkrE72wjFOhHEctCV1GFbtVMSxGZVIJcKuF4/TAZiTp+/mELIxM+spL1bChP4dEN2XxjZxG712VRXZRIbqoBQlFqz/QhU0h58pvV6I13V2MnSCQIcjnOkyewVJZTvGkFGdlmEqxaVGr5rXuPhJzYul5DpjCRmPcCgc4upt5/jzMJFaze8wCpqbnorTWojYUIiEjFblKTBygs8jA17qerM0Z+SfItoTcXzrHTSGUa9Imrp69NEMhPN5KXZuB03RAyjYwRMUpn4xg2IYa+LIF+b4A1iUa+UZBKgVE7IzPwZT1X4mnNe0RcCHz9iK/J/cPlC3G+eYxvbcqn3uFhIhCiadJD3YSbTckmnsxJQjZPimyhdZHKdbjGziGV626NdRJFEcfQYTz2S+QlFjEqpFE37qbCor/V8SlTWfFNXefTSTUNHhXb0xLYmb40S4gvA5lESrImkeODZxAEyZI69URR5NXWd1BKFfMWwLvGzuJ3tGDNfhKFemmeWXORUrOKkY8PEhodxbBu7oHfs859/hy+lmZcO57iv77filop58f7q0ixaNHKNaxJriJFY6UlcJFwwnXMhlIiEzH8di9XRl1kZ6Qiuq9wOpBHuk5HdaIJT8jLK+8cIWKXI1aN8oNN3yTPeHvAdYJVw7W6YYKBMHnF899vNOzF1vkqUrmBxLznkErlGOQ6TnQ009Em5e2jAxy80I9d6MQj2PhW6XNLrmO7k0G7h5+8UY9EEHhySy5nm0YZmfSxuiRpXvGlU+iWJMxGJ30kmNQEAuFZrwmCgExuwDN+BeP67ZirH5zjCJCZpOdC8yh1HXY8vjB/8VIND6/NojjTRJJJjfyOAn2Xw88Hb1wlGhXZ92IlZsvyhs9/HkV6Bs6zpwkNDWHctGXW62Isgr3rdaJhD4n5LxGb8mF77Vf4/GEOpW/lhYdKbokuqVyP2liEPnENMoWJaMiG1dyPSdfDYI8Na2omEulssS6KMaYGD6E2FKE2zvQqSzZrqCpM5FLDCGKiCqdSgipJQ6ZOzUuFaaxJNM7yQYS4OLunxMXZ7ybxNbl/aFQyjtcPkZukIztFz0W7i/FAmEczrexItyz48FloXQSJjIC7m0hwEp21+pYwc9svok9chznjIfIMGi7YHAz7glRa9LfOddRhoMFvYoMpzO7srGV5SH0ZJGqs2H3jnBm+SGXSSvSKhWvDOh09fNp3jMfyHiZnjpRmODjJRO97aEwlGFNmP/yWgyHRjC8YxXn8KMrMLBSpi9dXTXzwPj3KZH7Zr8akU/Hj/VVY76hNEgSBNF0qG1PX4o/56AgdRZGYg3FUyrAjwEf1Y7iEfEbVesqk7UQEH784/gGargwSSgW+u+dxNPKZtU4ymRS/L8z1qyMUr0xBqZotqERRZLz3HcIBO0kFLzHlU3CsbojDp6dw9Kdgm4hQmmUmFInS1SEhJyGZB4rLlv2e9Y+5+ckbDcikAj/aX0VlYSJKuZTPrgwSjYmsyLn7qO2pq8P83VsN9I+5qS60zvlZlikTpm01nO3orKvnjJpKJQKhSJSGzglKs808siF71jYAHneQD95oIBiI8vgLFViTl163OB+CVIogkeA8eQJ1SemMrksxEsF2+Q189U1I29RMvfsJUwc/JjI1xdmMDegLCthQnjL7mBIZCk0aOks1Kn0uznEbOlUXbtsloqEpZErzDJuUcMCGx34JfeI6FOrZjRF6jYL1xUlc7hpHlAk8X5jCnkwr+gVSpXFxdg+Ji7PfTeJrcv/Qa+ScuzaKPxjl6TXZuMNRHkxLoCZx8Y6uxdYlGnbjm2pCl7gG5+hJ3PYL6BLXYk5/GEEQUMukaGRSztuc6ORS0jVKDg6Mc2EiSKW8n3VcRp+45msnzgDyTbmcG75Ej6uf9ak1C17j2x0H8Ia9fGvF87PSoKIoMtH7HtGwm8T8F+eMGiwHrVZJLCkdT30dnvpajFseQJDN/4CKBYOcfe8o75jXk5yg5Uf7q2+N+fk8cqmcldZSShOKaPWeAEcSxqgMfYGBlk4fYW+ELcmNBMeacTSuwpig4fnnNiGdJzVotmhoujKIAGTOUXvmtl/ANtxAu28b713w8ZtjnVzvmyLNqqWmQs2Q5RO2VWaSmROjdXAMe58ZlzdEWW7CgumxO+kbdfO3b9ajVEj50f5qUhKmU8H56QYcnhCfXRnEalSRtUQ3/Ds5fKmfV4+0YzEoaR9wkGLRkJE4WywJgoBMmXCrq1SMRUCQIJGpb32uRFHkw7O9jDsDiCJsr06fdY8+b4gPXm/A5w3z+AsVJKUaln3N86FMz8B5+iTh0VGkRiOuc2eY+OgDbK/9isCVLmIDfgRRgqZkBcYHdyB5aC+vtMOOmgzy0ua/DkEQkClMJKRV0nRVg2PKi0bRi3f8MkFvPxKpZlq8Otvxu9pv2MvM3dSgkEvZmmNlR5aVZI1y2R2094u4OLtHxIXA14/4mtw/BEHA5vBT22Zjz9osVlr0JKoVi+/I4usiCFK8E/UEvf34HS3orGtm2UOkaZQMeALUjrtuDUlfn2Tk4WQ53okryBRmFJrZv7zvFaIYw+9oRaowzmhcWAylVIFOoePk4FmMSgPZhtlu9ABjXhtvdxxgZ9YDlFqKZr3uc7Tgtp3DnL4LtX7pMwfnQ6tV4gtEUGZk4vjsMGI0irZs/iL408fqedOVTLpRwQ+/uRaDZvG1N6tMbEpbiy08gK9bxJuiIaqX4B30MajsQ9lXQtCn5pEnMtCb5486KVUyHJM+OlptlFWlzejYa+3q5NXDHXzUUkDzQBS1QsZDazL57iMlPLQmi/KsVLpd3dTbGhkLjJKcEWJt0mqOXBmkY9BBRYEVhXzh9ewZcfG3bzagVsr48f5qksy303+CIFCel0DnkJOjtYMUZ5qwGpfaWSrywdle3j3ZzeriRH74YhUdwy7ONo6wqTwF1RzRHJnCRCwawOdoxe9owTN+BbftAgF3F+GAnatdTg7VOti6KpXWfgdmvZKcO8RXwB/mgzeu4nYFePS5VaRmLN9OZSEEmQxiMZynT+K+cA5/RzsSlRyyBNTrC8j4/R9jeWzf9OzM7ByuDPho7JrgxZ2FSxoyLggCGXmpXLsq41qTmbzSDMRwL56JWnxTLYQDNsRYBFPajgVF13J+yMXF2T0kLs5+N4mvyf1FIoEzTaPkpxtJSVh6fcpi6yKV6/DYL91IbdZgztgz65+nIAjk6tVctLvo9wRYm2hgb3YScpUVv7OdoLsbXeLqu/Kl8gXCyBfpMPVOXmWi77dEwx40puV13mXoUul09HBxtI51qdWoZLOLrj/sPsSwd4yXy/ajlM4UPrFIAHv3m8hVVhIyH70nEcKbayK3WAhPTuA8dQJddQ0yw+zoxenGYV45NUR6cJwf/eE2dLqlF41LBAklGdm0tYwSm/ISKLbgH3WR5M4Gp4rysmH08rPI1UkLDhfXG1Vcqx1CqZKTmmEkEnIx2H2Uvz/gwBtS8kBlBt98uJQntuRSlGlGc8e8zhRtEscHz+AN+3gs72F2r1pJoknFsbohLrWOsSLbjEE7t9jsGnLy07ca0Krk/PgbVSTOYTEhkQhUFlqpbbNzpnGEmuLERYWGKIq8dayTTy70sWllCr//2ArkMimry1L56EwPo5M+1pbOXcemNhRgSN6E1lyGQpOOVKYlGnLgmuzgldNa9MoQz608T2Gii8YeD6vLixAEgWAgzIdvXsUx4eORZ1aRnn1/upqV2TlIjUbMOx/C+vyzBNK7keUaSF3/fWSf89b7+HwfoXCMJ7fMb3b7eSQSgdxCK90dU7Rcg7J1D2O0pBHyjRD2j6DS56FNWHnP7icuzu4hcXH2u0l8Te4vZr2KI1cGkEslVBQs3cV78ciZAIIMhTYdU9quef9Jq2TTKc0klYKHMqxIBGG6c1OuwzN+BZnCtGxvquP1Q/zkjXoK0o1zPnhhOmo20fsusViQsH8EpS4TmXLpDzZBEMgzZnNy6BwT/kmqbwzu9kxcxTN+BedkE87JRjYarGgDo/gmm/BOXsUzcRXvZD1u+0WiYReJec8jU9ybFNSda6LOL8R5+iTBnm4MGzfNeP+P1g7yq0/byItO8k3tIMnblz8EXBAEZDIpAy0TZOaoKE00EelxY0jUsfupzQQ9PbhtF5HIdSg1c89U1OqUjAw46OscJz25mamBA7x3RcuoW89f7F/FpoocjLq5U1QmpZER7xjuoJtvlD6LTCIlM0nPipwEzjePcbx+iPRE3awfHB2DDv7uN1cxaBX8eH81lgUiYgqZlPK8BE5dHaa+Y5z1Zcko5hH8sZjIrz69zrG6IXbWZPDNh4uRSiR4PUEyU41EwlGO1g6SnKAhM2nuWrCbHcsKTQpqYyE6azXnetKp7/LynR1Gks0qFLExcozD2MIlGDVKPv5NExM2D7ufLl+yNcndIEilqHPzkCcmMjH4W8L+UZLyvzFLfEdjMX79aTuVhRaqCpfX3CKVScgpsNLRMkZ7s52SynIS0teiNhSiMZd/4bT/ncTF2T0kLs5+N4mvyf1FKhHoG3Fzvd/BQ2sWthu4k6Wsi1KbgUqfs+gxLSoFOXr1jO1kSgsBZwd+dxf6ZUTPJl0B/vG9JsKRGL2jbrZWpM1Zg+SbasI7UY8l+0nCARs+Zxs6S9Wy0ptauRYBgZND58jSp6MPTTDR9x6RkANfYBwVUSxyNUIsRCwWBjEKiAiCBIlUhSF5Ixrj3XtlzbqeO9ZEolQi1elwHPsMucWCKmu6iPxa9wT//GELFdkGHqt7A+v2bagLChc67LyYrRpaGkZIiMoJ2QL4/GHaEdm2OheDdRUh/yge+0VEMYpSN/tzEAm7iQXb6GwXkNODW1nMwSYjj27IZX35bEuMz1NuKWF92mp08tu2IQkGFWtLk2jumeLI5QHkMgkF6dPDvdv6p/j73zRi0iv58f5qEgyLRwt1ajn5aQY+uzJI97CLdStmWz5EojF+/lEL566N8fjGHJ7dno9EEOi6buf9V+sZG3Hx4NZcWvomOX9tlI3zpDc/z5Q7yM8OtFBRYOWJ7TVoTCXI1UmEXY009UvouuJlbNjFQ0+UkTvHKLD7gWv0FN6JeswZe9CYSma93jHg4ETDMI9uyCHNujQ7lztRKGVk5iTQ0jBtdFtUloxSY7qnwgzi4uyeEhdnv5vE1+T+EwrHON88SlVh4oLmm3dyv9dlOnqmn46eyY1Lip6JosjPP2zB7vTz7PYCzjePTj9cPzeyRhRjjPe+i1RuwJy5B4UmeVpExMJzzmxciBxDJo32ZjrHmyjwdRvSwmsAACAASURBVKBQJ2Mp+h4/7T6JW5PNzlXfR5+4Br21Bp21Gp2lCp2lEp2lYt6I0t3y+TVRZmTiv96K69IFjJu3IlEoeOVQG9GYyB/lBwg21pP4/Itzpj2XgkQiIRKOcb1xFL83RMXWXM52jCOXSijJsaIxlxENu/HYLxENOad9rgQJ0bAH58hxJvveRy4MYJvIwOnJ4MSwEr1Gwff3lSFdwpQDqUQ6ZzpZrZSxoTwFm8PPkSuD2B1+5DIJ//huExajih/tr5q38WEurEY1FoOKw5cHcHpDVBTc7mQOhaP8j99eo659nOe2F/D4pmkR2t48xtEPW9BoFYwMOlEoZWxdn83R2kFGxudPb97Jrw+3MWT38n88swrtjZSuXGlmpL+W7mYzk3aRHY+XUlC6PNPiu8Xv7LjhObfqlnn05/n00gCDdg/f3l08r0/cYqi1CpLTDDTVDjEy6KRwDkH8RfmqxVl88HmcOHEW5ea0gKtdiw9B/zJRGQpRaNJwjp1GjEUX3f7ydRtXuyZ4ckseu1ZnUJabwPtnenB5Z/4T9k21EAlOYEzdiiAIqHTZ6KyrcdsvEvQOLusaZRIZLxY/yQPyEJFYGEvOU1yyNeAJe9mRtXVZx7rXCBIJSS99i5jfj/2d3zBo89DaN8WOmgyCrc1ITSYUaemLH2gByqvTUKpklFensWlDNqtLkvjkYh9T7iCCICEh8zGMKQ/gnbyKvesNpgYPM9z8D7jtl9CYy0kv+2NqNpXhmAwSdAb51u6SRWsFl4JSLuUP95bx5JZczjeP8V/fbiTRrOZH+6uX/APkTjatTOXRDdmcujrMp5emh7/7gxH+/jdXaeqa4Fu7i9m9btoqpaVhmKMftpKaaeKF762lZGUKF050EfOEeGprHg2d45xvHl3wfB2DDi40j7F7XdaM1HwsJtJyvRKfS0/qChNFZYvP3LwXRIIOJvp+i1ydjHmeGsmYKFLXbqc8N2FJkcGFSM828+CjJYwMODn2cSuiKH6h433diIuzOHHiLIpBqyAvzcDVzq+XOBMEAWPKA0RDTjyTDQtu6/GHef1IO9kpenauzkAQBPbvLCQUjvLuya5b24miiHPsFHJVImrj7bSMKW0HUrmByf4Pp+0MlkGCr5t0mZSPPT4GAx6ODZwiS59OoemLd2B+UZTpGZh3PoTrzCkOHWtGIZOwZWUKvpYWtCvKv3Ajglqj4Js/WM/mXdOp0We25ROLibx3avo9FwQBY+oDJGTtJeDuwW2/iMZcRuqKP8KSvReZ0ozKqiGESIlWRek9LGgXBIHHN+XyJ0+tZP2KZH74YhXGeZoElsKTW/NYXZzI28c7OdM4wt++WU/HoJPv7V3Btsppkdt4eZCTh9rJykvg0WdXolDK2PdCJQaTmiMHWthUkkxBhpHXj3Qw5Q7OeZ5YTOT1Ix2Y9UoeXX/b0ywajfHZBy3YRqSUlXYQlV6/63tZDmIsynjvO4iiiDX3WSSSuRsjekZcTLmD1CxgLLwcClcks357Hp2tdj55p4nejnGi0fs/rPzLIC7O4sSJsyRWFVjpGXHj9Mz9wPiqUBkKUGjScY2eXlA0/eZ4Jx5/hO/uKbmVEku1aNm5OoMzjSP0jLiAafuKSGAcQ8rWGcJEIlWSkPkI4YAd59iZJV+f39WFa+wsKvMqRiRa/unqL7H5xtmRufULC597hWXvEwQtqVzscbGxLBnZ2CAxnxdN+cKzJpeKXCG7da9JJjW7VmdyrmmUvlH3rW10lkpSir93Q5TtQ66cLl6PxUR+faSdKZkE0RvCfsc+94qqokT+YG/ZkqxCFkIiCPzeYyvISdXzy09aGbB5+eOnVrJ+xbTdS935Ps4e7SS3yMrup8qR3bDzUKrkPPxkGaFghM8+bOE7u0uIRGO8cuj6nBGh043D9I25eXZ7PkrF9DGikRif/raZ7rZxNu7IJzkzSo5hgL4bn+v7iWP4M0K+YSzZe2+t21zUtdmRSoRlNRYtRuXaTNY9kItt2M3Bd6/xq/9xnjNHOrCNuP63jqbFxVmcOHGWROWNf6h1HV/D6FnqNqJhF56JuaNnrb2TnGkc4eF1mbMMQ/duykWvVfDakXaisRiu0dPIlFY0ptJZx1Ebi9CYV+IaO0PIb1v02qJhDxN97yNXJWLNepTnivbhjfgwK01UJa26uxu+D0iUStrXPE5UkLIm2Iuv+RoIAtrS5TvqL4VHN+SgVct582jHjAeoQpMy6+F+vH6I7mEXO3cWIFdIabiRMvy6opRL+ZOnV7G6OJF/+1wFlYVWRFHk4qluLp7sobAsiYeeWIFUNvPxa0nSsXV3ESMDTvqaRnnqgXwauyY4d21metMXCPPuyW4KM4ysK51OWUbCUQ6+d42+zgm2PFRIxZpMrKk1JOr8NLReu6/363O24bZfRGddM+d35iaiKFLbZqc023yrPu5eIAgC1Ruy+dYfb2DPM+WkZ5loaRjm3VfqePN/Xab2XB9uZ+Cene/LIi7O4sSJsyQyErVkJ+v59GI/0djXK3Wg0ueh0GbgGjszK3oWCkd55VAbSSY1+zblztpXrZTx7LZ8uoddnLxcTzhgw5iyZd7uT3PGw0ikKib7P0AU538fRFFkou99xGgQS87TSCRyKhLLeSL/Eb5R+sySh6J/GUSiMc6MxCiUupEd/i3uixemfav0y3e+XwoalYwnt+TSNuCgrn1+sT/pCvDuyS7KchPYVJHGispUulptX/uHrUmn5AdPrqQ024woipw72kXduX5KK1J58NFSJPM0MxSXp7CiKo2GiwPkG1QUZhh5/bOZ6c0DZ3rx+sPs3zntYxYORfnknSYGuifZtqeY8urp9Kk5aSXRmAR8LYTCi9dj3g2RkIPJvgPI1SmY03ctuO2g3YvN4af6HqU0P49UOm2z8dATZXz7TzbywJ4i1Go5l0718Oo/XeDA6w20Xh0hFFxeScJXRVycxYkTZ0kIgsDeTTnYHH4uNI991ZczA0EQMKXcjJ7VzXjtg7O92Bx+vr27eF5X+A3lKeSlGXj/3AQRSSIa8/wRI6lMgzl9NyHfMG77pXm3c42dJeDuxpyxG4X6drfcruxtlCbMngbwVXK51YbTG2LPruloXmh0ZMHJAfeCrZVppFm1vH28k8g8dUKvHWknFhP55sPFCILAqhu1go2Xl9eU8VUhiiKnPm2n8cogK2vSeWB30aJdhZt3FJCYoufEJ9d5bnMu0WiMfz04nd4cGvdytHaQrZVpZKfoCQUjfPybRob7Hex4rITSitsdyxKpipiqgJIkG3XtI/fh3qKM97yLKMaw5j6DsMhA+do2GwJQvUxvs7tBqZKzoiKNJ16q4hvfX8eaLTl43UFOHGzjrV9cxuXw3/dr+KLExVmcOHGWTGWhlawkHR+d6yUW+3rVcyj1uSi1mThHzxAJTdfZ9I+5OXSxn80rUyldYEC1RBB4er0ST1DKucGKRT3TNOYyVIZCnMPHiASnZr0e9AzgHDmOxlSG1lL1xW7sPiOKIocvD5Bq0VBRkYPl8ScA0K6quK/nlUokPP9gATaHn6O1s8VWbZud+o5x9m3OJelGN6LOoKKgNImWq8MEA+H7en1flFgsxrGPrtPSMELVhiw27SxYUo2hVCbhoSdWIAgCtUe7eHJLLk3dE5xpHOHNz9pRKaQ8uTWPYCDMR281MjrkZOfeFRTNMUA8NXMNanmEnp6r9/z+HMPHCPmGSMh6fME6s5vUttspzDTNO5XhfmEwqVm9KYcX/2Ate1+sIByK8v5rDTinfF/qdSyXuDiLEyfOkrnZ3TY25edi65cXPYuJ4rzRlZsIgoA5YzdiLISt4xWCAQf/evA6OrWM5x5c2JtMFEVMsQvUZDk42RxkeNy76LkSMh8FQcJE/4cz6qZiET/jve9ND2zOujdjl+4nHYNO+sbc7Fw9bTBsfng3WX/5V6jzl+fndjeszLNQnpfAB2d7cd/hKeUPRnj9s3YyEnXsWjPTbLZibSaRcIzm+uH7fn13SzQa48iBVtqbx1i7NZf1D+Qt63NgMKnZ8XgpE3YvMruPogwjvz7cRnPvFPu25KIQBD588yr2UTcPP1k2r4+ZWp9LKKYhUdGN/R5Gi/zOdty28+gsNWgXiDLfZHTSx5Dde8+6NO8GQRBIzzaz98VKopEoB15rwDH59RVocXEWJ06cZVFVZCUjUcuHZ7+c6Fk4EuMf3mnk3/zDGd492TXLk+xOFJpUkgpeIhrxceDwx/SOutm/q2jRmYcBVwdh/whPbc1FIZfyxucK1edCpjBgSt9F0NOL94aNhyiKTPR/SDTsxpLzFBLp0udRflUcuTKAViVjY9l05EWQSG5NC/gyeH57AYFQhA/O9N7623snu3G4g3xnT8kso1Jrso7MvATqL/TjcX39as9iMZFjH12nu83Oxgfzqdl4d+9ldr6Fmk3ZtF8bY3ueBYlEIM2qZX1xIh+83sCk3cvup8rJLZpf8AiCBG3CKgqsU1xo6pp3u+UQCbmY6DuAXJWMKeOhJe1T2zbdPFOzwLV+WViTddMCLSZy4LUGphb5IfZVERdnceLEWRYSQWDvplxGJ31cvr54x+IXIRKN8bMD12jsmiA7Wccn5/v44T+d47XD7Yw7544EKLUZSJKe52hbEsVJLipzF66FEUUR5+gppAoTKekVPLE5l+aeSRqW0JWqs1Sj1GUxNXSYSNiNZ/wKfud1TGk7UGq/mHnrl8G4w09du52tlWm3LBm+bNITdTxQmc7x+iFGJrx0DTk5VjfIgzUZ5KXNPZlg60OFiCIc+3huq4mvips1Zp2tNtZvy6Ni7eIjphZi9aYcMnPNXD3bx588UsofP76Cj99qxDnlZ88zK8kusCx6DGtqNRIBXOONX/jH1M15s6IYwZr79Lx+Zp+nts1ObqphSeOwvgwsSTr27a9EROTADaH7dSMuzuLEibNsqosTSbdq+fBcL7H79HCMxUT+10ct1HeM841dRfxofzX/+XvrWLcimRMNQ/z5zy7w8w9bGLJ7ZuwniiJvnnIgkch5rKwXe+evCAcm5j1PwN1FyDeMMXkzgiBle3U66VYtbxztWLTLbTq9+TjEokz0vMPU0GFUhgL0SevvyXtwvzlaN4iAwI7qjK/0Op7YnItSIeGNox28cug6Jr2Sp7bOb9BrMKnZuCOfoT4HTVeGvsQrnZ+bXZmtV0eo3phF1fqsL3xMiURgx+OlqDQK6k/0cOxAC25ngEefW0Vm7tKGmMtVVkKSZIotw7T0zP89WArOkeMEvQMkZD42a6D5fEw4A/SOuln9FaY05yLBqmXf/koEicCB1xuYsHkW3+lLJC7O4sSJs2wkgsDjm3IYHvdy5T5Ez2KiyL8cbOVSq41nt+ezo2ZaPKRatLz8SCn/5fsb2FGTQW27jf/4i0v847uNdA05AbjQPEZzzyTPbCugcOULiGIUW8crhAOzI2GiKOIcOYlUbkSbMF0AL5NKeHFnIePOAJ9e6l/0WuUqC8bUBwh6B5DKNFiy9n3t68xguq7r1NURVpckfuURDYNWwWMbcrjWPcmg3ctLu4pQKxeOeJauSiW7wMKFE11Mfg1SU5dP9053Za5OZ+2W2ZYtd4tao+ChJ1bgdQfxe0M8/nwFaVmmZR0jMbWGJL2Pq22td30dflcnrrGzaC1VaBNWLnm/2nY7wH2z0PgimC3TAk0qE/jgjQbGx+69wfHdEhdnceLEuStWFyeRatHc8+iZKIq8dqSds02j7Nucy551s2t2EgwqXtxZyN/+YBN7N+XQPuDg//l1LX/zeh1vHO0gP83A9qp0FJoUkgq+hYjIWMcrs4xjg+4eQr4hDCmbEO7wHVuRk0BNcSIfn+9jcgl1TfqkDRiSN2HNfQ6pXPvF34QvgXPXRvEHI+xa/cVSb/eKnaszSU/Usr4smaol1CYJgsC2PcXIFTKOftj6lY7tqb/YT+25PkpWpbBpx9K6MpdDSrqRffsreepb1aRkGJe9vz6hnKgoRRW+PqPxYqlEwu4bZspJmDN2L2vfujYbGYk6ks2aZZ/3y8CUoGHf/ipkcikfvHH1vkyguBvi4ixOnDh3hUQi8PjGHIbsXura7PfkmKIo8vbxLo7XDbF7XRZ7N+UsuL1OLeeJLXn85AcbeeHBAsam/ARCEb69p+SWn5RCnURy4bcRELB1/oqQf+zWuZyjJ5HK9egSKmcd+/kHCxCBt451LnrdgiD536bODKYjk59dGSAv7f9v787joyrvPY5/sk4Ssu8JgYQtDwHCKptQpSwKAlL3XlyvVlv1vqr23pdtvd7r0l5Fa23tfrtor1hrXaoGxX3FCCIIyCJPSMhCAiQhCSBbSGbm/jGDBkGyZ07I9/168Zqcc+ZMnsnDOfOb37PFMqR/+z/su0NYaDB3XTOR6xeMaPM5Uf3CmTEvlz3VB1hTWNZ9hTuFTZ9Useqd7QzNS+XsuabbsqbpWXEkJHUs8A8OjSAkaigj02v5aHP7Rrn6+pn9E6+nqV39zAD2HWhkW+W+gI7SbIu4hEgWLR5LeLgvQKvpgSWvWqPgTEQ6bFJeGumJURQUdk327MUPSnl1dQUzx/fnkhlD2vxBFxEeyjmTBrLku1N58MYzyUqJPu54WEQyqcOuJigohJptj3P00G4aD5TReHAHsWnTTjqBZnJcJOdNyebjrTUU7djb6ffmJBtL6qhuOOyYrNkxoSHB7Q5uBuWmYPLTWbeygt3+pu2eYjfuZsXr28gemsTMBcNbnWA2kFIyJxAV3kxFxYY2D6Lwej3UV7xE44FyErLOIyyifUHWum178ILjgzPw9WM8f/FYXBGhLHtqA5XlJ85f2JMUnIlIhx3LnlXWHmjT6MZTWb6qnILCMqaPzmDxnNwOZSDCQoOJj3ad/FhEki9ACw6npvhxGipfJyQ0muik8V/7evMmDySuXzgvrNje7rI42RtrdpAQ4+oVH5ptMX32UKJjXLz90laajvbM8jwlW2t5Z/lW+mfH+9bKDHH2x2lEzGCaiWJAdAVlbWi683rd1JU9z8H69cSmn0V0UvsnJV5ra0hLiKR/cu9o6o+N92XQIiLDWPZ010/c2x7O/t8kIo43aUQqqQmRFBSWdnhagzfX7ODZd0uYPCKNa+YOJ7ibmobCXIm+Js6QCJqOVBPzNVmzY8LDQpg3JZutFXuxFYH9Jt1VKmsPsKWsgZnj+58wh1hvFe4KZeaCPPY1HObDt7tmPq9TKS+p482CLaRlxjLvonxCQ52zTurXCQoKJiZpDMOSG1i18dRfNryeZvaUPsOhvZuJz5xFfMaMdv++A4eb2FqxlwkmtVcMkDkmJi6Ci66ewEVXTghoOU6PK1NEAiYkOJiFZ+ZQUX2A9cXtz569v2EnT765jXHDkrlufl63Nw2FuuJJG3Y18ZmziElu/QY8Y2wmsf3CKQhQn6au9uaaHYSHBnP22N7RP66tMgfGM2bSALas30V5SeemjDiVnRV7ee35zSSm9OO8S/IJC9D8cB0RnzqO4GBo3LeJxq+ZJsbjPkrt9qc4vK+IhKx5xKZN69Dv2lC8B7fH2yuzsxGRYaSmxwS0DKceq9xJxpjZwIVADeC11t7zleMRwENAFTAMWGKtLfIfG+o/1mytvbg7yykinTNlZBoFhaUUFJYxdmhym74puz0e3l23kyffKGLU4ES+t2hUj2VyQsPj2vyhEx4WwrzJA/nH28UU7dhL7oD2TWPgJPsONPLhpmqm56e3umpCbzT5rEHsKK3nneVbuey6iURGdc06jkcON1FVvpeq8gaKNlcTGxfBgstG44roXX/DsIhk3CFpjEzbzdqt1ZyZn3nccY+7kdqSJ2k8WEniwPOJTjpxoExbrbW1JMa6yAlwkNNbddud0BgTBfwBuM1aezcw2hgz6ytPuxWosNbeD/wC+EuLY5OB5d1VPhHpOiHBwSyYmkP57s/5tJWshcfjZeWm3dz559X87Y0i8nIS+LcL8gkLdW4if8a4/sRGhVFQWBroonTKq6vKaHZ7mOWwgQBdJSQ0mFkL8mg83Mx7rxZ1uJm9uclNZVk9q94t4dm/ruWxRwp5/YXNFG2uJis7gYXfHtNlgV9PS86YQFrMITYV2eP2u5sPU1O8lMaDVSTlXNipwOxwYzObSusZn5vSq5o0naQ7M2dTgXJrbaN/uxCYD7zV4jnzgTsArLUbjTFjjDGx1tr91tq/GWOu6cbyiUgXmjoqnWUfllFQWMroIScuK+PxeFn9WTUFhWXsrj9EVko/br5gFONyU7qtj1lXcYWFMHdyNk+/U0xx5T6GdmCuqUBrdntYXljKqEGJvaaDdkckp0Uz6axBrHp3O0WbqjH56a2e09Tkpr72IFXlDVSWNbC7ch9ut5fg4CDSMmOZOD2HrJwEUjJiHN/xvzX9EkZSt+NVEkKKqW6YTFpCFO6mA9QUP0FTYx0pgy8lMi63U79j4/Y6mt0ezjAnX5BdWtedwVkq0HJIyH7/vrY8p0OTjCQkRPVIx8yUFKVpnUZ14gzfPmc4v3lmPTvqD5OaGktKSgxuj5cP1lfx1BuWypoDZKfH8KOrJzJ1VIajpx74qkvmGF77uIJXVldw77gzA12cdnvmrSLq9zfy/cvGnfbXy+z5I6gq30vhW8WMGtufuIRIDh44SkPdQRrqDvn/Hfzi8cD+xi/O9QVjgxg0LJnswUmEt7JSQVfpuTqJob5qBPlNW1lXXMNlMwdQtGYp7qN7GTb+WmKTOheYAWx6ZSvx0S6mjM0ipBdd418VyOukO//X1QAt31msf197n9NmDQ2HOnpqm6WkxFBb64wZhMVHdeIco3PiSYp1sfTlLYzNTeWVFSUUFJayq+4Q/VP6cdO3RjHe+DJldXXOWsuuLc6ZOIBn3ilh5fpKhjpk8tbWeLxennu3hFc+qmBqfgZZiZF94no569xhPP3oGv748Hs0N3tobjp+BYF+MS5i4yPIyk4gNj6C+KQoMgbEE9Xvy+bKffsP90hZe/oe1i8+n0P1m6gt/ZDNK2vxuo+QOuRyGj0ZnS5HU7Obj7dUM3VkGvW98Bo/pqfq5OsCwO4MzlYC2cYYl79pcxrwO2NMIr5O/vuBl/E1f64wxuQDG/z7RaQXCg0JZv7UHB5/zXLDfW9Q03CY/sn9uPFbo5hgnN982ZqZ47J4ZVUFBR+U8oPL2t8nx+v18u66KuKiXYxvwxJFndXs9vDo8s9YtbmaGeP6c+viCb36A7M9YuMjmTl/OHbjbmLiI4iNjyQuPpLY+Ahi4iN6xfQX3SUidgje4H6cPaiYI0fCGZB3Fa5+ma2f2AabSutpbHI7ci3N3qTbgjNr7SFjzI3Ar4wxtcCn1tq3jDEPAvXAEuAR4CFjzJ3AUOC6Y+cbYxYBC30/mtuttQ92V1lFpOtMy8/gtY93EB4WwvcWjeSM4am9Pig7xhUewtzJA3n23RJKdu5jSGb7smfLV5Xz3Hu+OaYmj0jj8jm53TZq8nBjM7/550Y+K2/gwrMGM39qdq9uYuqIwSaFwQoSThAUFExC+hRqqlbx51W5LHQFMa3ta5mf0ie2lihXKMMHJnTNC/ZRQR0dzeJEtbWfd/ubUROa86hOnMft8ZCWGsuePadflubI0WZu//1KBmXEctulbZ81/f0NO/nrK1uZMjKNDP+SV9GRYVwzbzhjhiZ3aRkbPm/kl89sYOeeg1w9dzjTR2cAulacKhD14vV68Xi8PPTUesqqP+fuf53Y6cXJm90ebvv1B4wZmsx32rFGqhP1YLPmSb8x9e5hJyLiSCHB7V8jsbeICA/l3EkD2Li9ju0729YLY62t5f9e3Ur+4CSuPS+PhdMGcedVZxAdFcYjz37KY8s/43Bj1yw7tHPPQe5buoaahsPccvHoLwIzkZaCgoIICQnm+oUjCAkK4k/LttDs9rR+4inYir0cPNLcKyeedRoFZyIi7TRzfBb9IkLbNO+ZrWjgfws2Mzgjlpu+9eVEu9npMfz31RM5b0o2H2zcxX//ZTWfdXKx5W2Ve7n/ibU0ub388PJxjBp84pQmIi0lxkZw1VzD9p37WdbJVTDW2hpcYSGMzEnsmsL1YQrORETaKdIVyrmTBvJpSR2lu74+e1ZR/Tm/eu5TUhMiueWSMbi+stRPWGgwF88Ywo+vmEBoSBA/+/s6nnyj6GuX1jmVtbaWh55aT3RkGHdcOYGc9Nh2v4b0TZPy0piWn85LK8so2rG3Q6/h8Xj5pKiW0UOSCA/ru4MtuoqCMxGRDpg1wZ89++Dk2bOahkM8/PQGIl2h/ODSMafs+D+0fxx3XzuJ2ROyeHNtJXc/upriqn1tLstbayv53fMbGZAazR1XTiA1PrLd70f6tsWzc0mOi+BPyzZz6EhTu85tdnt47v0S9h9qUpNmF+mZ2fVERE4zka5Qzpk0kOff307prv0MyvgyU7XvQCM//8d6PB4v/754HImxEa2+nisshMVzchmXm8KjL3/G/U+sJS87gSDA4wW3x9eB+7hHr5dmt4eahsOMHZrMdxeNxKWshXRApCuUG84fyf1LP+GJ14u44fyRbTqvpuEQf1y2he079zM9P6NHpojpC5Q5ExHpoNn+7FnLvjqHjjTz8NMb2H+wiVsvGUNGUvuWSsrLTuDe6ybxzXH9OXikmSNH3TS7PQQHQXhYMP0iQ4mPDiclPoLMpChy0mO44BuDuPnCUQrMpFOGZMaxaHoOq7ZUs3LT7lM+1+v1UrhxF3c99jG76g7xvUUjuXZ+3hd9KqVzlDkTEemgSFcocyYO4IUVpZTv/pzM5Ch+9dyn7NxzkFsuGc3gzI71+4p0hXLFOaaLSyvSuvlTc9hUWs/S1y1Ds+JIOUkT+aEjzSx93fLRlmpys+K4fuFIkuJazw5L2ynEFRHphNkTBhDlCuWFFdv5w4ub2bZjL9ctyGPUII2UlN4nODiI6xeMICgI/rRsC27P8dNrbKvcy12Prubjz2q4AvqESQAABhhJREFU4BuDuH3xeAVm3UDBmYhIJ0RF+LJnG0rqWLdtD/8yexhTRqQHulgiHZYcH8mV5xqKq/bx0oflgG9i6RdWbGfJ3z4hKAh+fMV4Fk4bRHAfW3Wip6hZU0Skk+ackcWarTVMyktl9hkDAl0ckU6bMiKdjSV1FBSWkpYYydtrqyiu2sfUkelccU4ukS6FD91Jf10RkU6KigjjJ9+ZHOhiiHSpy+cYtlXu448FW4h0hXDDwhFMGamscE9QcCYiIiIniIoI5eYL8nlz7Q7OnzbopIMDpHsoOBMREZGTyk6P4br5vXsR895IAwJEREREHETBmYiIiIiDKDgTERERcRAFZyIiIiIOouBMRERExEEUnImIiIg4iIIzEREREQdRcCYiIiLiIArORERERBxEwZmIiIiIgyg4ExEREXEQBWciIiIiDqLgTERERMRBgrxeb6DLICIiIiJ+ypyJiIiIOIiCMxEREREHUXAmIiIi4iAKzkREREQcRMGZiIiIiIMoOBMRERFxkNBAF6C3MMbMBi4EagCvtfaeABepTzLGpAM/BcZYayf690UADwFVwDBgibW2KHCl7FuMMUPw1cknQBZQZ6291xiTCCwBtuOrlzustdWBK2nfYowJBpYBHwHhwBDgWiAS1UtAGWMi8dXL69ba/9A9LPCMMauAI/5Nt7V2ViDvYcqctYExJgr4A3CbtfZuYLQxZlZgS9VnTQdeBIJa7LsVqLDW3g/8AvhLIArWhyUCT1lrf2atvQX4tjFmAnAf8Ka1dgnwAr4PH+lZK62191pr7wSi8H3BVL0E3k+BdS22dQ8LvFettTP8/459vgfsWlFw1jZTgXJrbaN/uxCYH8Dy9FnW2meBz7+yez6w0n98IzDGGBPb02Xrq6y1H1trX2yxKxg4SIt6QddMj7PWeqy1PwUwxoTiy2paVC8BZYy5Et/fvbTFbt3DAi/fGPNDY8zdxphj10TArhUFZ22TyvEBwX7/PnEG1Y9DGGMuAF6z1m7l+HrZDyT4gwTpQcaYc4GXgJestWtQvQSMMWYEkGet/edXDukeFngPWGsfAH4C3GGMOYsAXisKztqmBohpsR3r3yfOoPpxAGPMN4FvArf5d7Wsl1igwVrbHIiy9WXW2testXOBQcaYm1C9BNIFwBFjzI/wddGYZIy5Fd3DAs5au9r/6AZW4LuXBexaUXDWNiuBbGOMy789DXg5gOWR472Mr+kZY0w+sMFauz+wRepb/M0A5wK3AOnGmKm0qBd0zfQ4Y8yIFs0z4GtGG4zqJWCstf/j7wO4BPgAWG2t/SW6hwWUMWa4Mea6FruGAcUE8FrRwudtZIyZA1wM1AJNGq0ZGMaYs4GrgLnA74Gf+w89BOwChgL3aaRTz/F3/n8PWOPf1Q/4LVAAPACU4xsp+CONCuw5/lG0P8M3ijYMyAO+DxxF9RJQxpiLgJvxjaL9LV92Ntc9LACMMZn46uETfBmyMOAHQDwBulYUnImIiIg4iJo1RURERBxEwZmIiIiIgyg4ExEREXEQBWciIiIiDqLgTERERMRBFJyJSJ9jjCkzxuT4f77JGHNfgIskIvIFLdkhIn3dUnzzTYmIOIKCMxHpU4wxtwCJwD3GmKNAMpAAzDDG3INvotZHgHFALnAjcCkwCfjUWnut/3US8U1QuQdIB9631j7Ww29HRE5DatYUkT7FWvsIUA/cZa29Hl8gduzYXcAGIMhauwjfrO1/B/4TX3A22xgzzP/0R4D3rLU/Br4D/JcxJrfn3omInK6UORMROdGH/sftQJm1tgHAGFMKZADbgHlAuDFmuv+55UAOoGV3RKRTFJyJiJyo0f/obfHzse2WLQ4PW2s/AjDGuABPzxRPRE5natYUkb7oCBBijJkNZHXwNV4Fzmmx/SSQ2dmCiYho4XMR6XOMMXcBY4Fo4AC+/mR348uS3Q+sBm4HHvQf+6H/1Af8x673b/8aX/+1YGCltfbxnnkHInI6U3AmIiIi4iBq1hQRERFxEAVnIiIiIg6i4ExERETEQRSciYiIiDiIgjMRERERB1FwJiIiIuIgCs5EREREHETBmYiIiIiD/D83lVt1TpHH6gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(x2[:, :10], lw=1.5)\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('index level');\n",
    "# plt.savefig('../../images/ch12/stoch_10.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "uuid": "fc247695-7a20-4452-8c74-96ace26f2ebe"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     statistic     data set 1     data set 2\n",
      "---------------------------------------------\n",
      "          size      10000.000      10000.000\n",
      "           min          0.003          0.005\n",
      "           max          0.049          0.047\n",
      "          mean          0.020          0.020\n",
      "           std          0.006          0.006\n",
      "          skew          0.529          0.532\n",
      "      kurtosis          0.289          0.273\n"
     ]
    }
   ],
   "source": [
    "print_statistics(x1[-1], x2[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "uuid": "7f49cc7d-5264-459c-a9b7-d602daed9f2b"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2.82 s, sys: 134 ms, total: 2.95 s\n",
      "Wall time: 781 ms\n"
     ]
    }
   ],
   "source": [
    "I = 250000\n",
    "%time x1 = srd_euler()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "uuid": "ede482c4-ec2c-43e2-8128-0c97b44469bd"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 7.07 s, sys: 27.9 ms, total: 7.1 s\n",
      "Wall time: 1.81 s\n"
     ]
    }
   ],
   "source": [
    "%time x2 = srd_exact()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "uuid": "84a26be5-eede-4478-9f67-c6a97f9804f9"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     statistic     data set 1     data set 2\n",
      "---------------------------------------------\n",
      "          size     250000.000     250000.000\n",
      "           min          0.002          0.003\n",
      "           max          0.071          0.055\n",
      "          mean          0.020          0.020\n",
      "           std          0.006          0.006\n",
      "          skew          0.563          0.579\n",
      "      kurtosis          0.492          0.520\n"
     ]
    }
   ],
   "source": [
    "print_statistics(x1[-1], x2[-1])\n",
    "x1 = 0.0; x2 = 0.0"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Stochastic Volatility"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "uuid": "786bc4c9-bff7-4a6d-9ae5-1f62c1813518"
   },
   "outputs": [],
   "source": [
    "S0 = 100.\n",
    "r = 0.05\n",
    "v0 = 0.1  \n",
    "kappa = 3.0\n",
    "theta = 0.25\n",
    "sigma = 0.1\n",
    "rho = 0.6  \n",
    "T = 1.0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "uuid": "0db5ac22-1065-4fd5-92a8-3ccb0780d34c"
   },
   "outputs": [],
   "source": [
    "corr_mat = np.zeros((2, 2))\n",
    "corr_mat[0, :] = [1.0, rho]\n",
    "corr_mat[1, :] = [rho, 1.0]\n",
    "cho_mat = np.linalg.cholesky(corr_mat)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "uuid": "41b7d810-38b5-4831-bb66-84a57c97415b"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1. , 0. ],\n",
       "       [0.6, 0.8]])"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cho_mat  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "M = 50\n",
    "I = 10000\n",
    "dt = T / M"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "uuid": "b16ca288-23eb-463b-9b63-4765eea564f9"
   },
   "outputs": [],
   "source": [
    "ran_num = npr.standard_normal((2, M + 1, I))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "v = np.zeros_like(ran_num[0])\n",
    "vh = np.zeros_like(v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "v[0] = v0\n",
    "vh[0] = v0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "for t in range(1, M + 1):\n",
    "    ran = np.dot(cho_mat, ran_num[:, t, :])  \n",
    "    vh[t] = (vh[t - 1] +\n",
    "             kappa * (theta - np.maximum(vh[t - 1], 0)) * dt +\n",
    "             sigma * np.sqrt(np.maximum(vh[t - 1], 0)) * \n",
    "             math.sqrt(dt) * ran[1])  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "uuid": "e7ae274e-fec0-43f5-a171-0dd5f131e6c2"
   },
   "outputs": [],
   "source": [
    "v = np.maximum(vh, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "uuid": "0016d6a1-4c5c-4617-847a-d0d1510c3fb9"
   },
   "outputs": [],
   "source": [
    "S = np.zeros_like(ran_num[0])\n",
    "S[0] = S0\n",
    "for t in range(1, M + 1):\n",
    "    ran = np.dot(cho_mat, ran_num[:, t, :])\n",
    "    S[t] = S[t - 1] * np.exp((r - 0.5 * v[t]) * dt +\n",
    "                    np.sqrt(v[t]) * ran[0] * np.sqrt(dt))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "uuid": "5db99fd6-5e32-4c1f-8186-fe6ac910b0c8"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 6))\n",
    "ax1.hist(S[-1], bins=50)\n",
    "ax1.set_xlabel('index level')\n",
    "ax1.set_ylabel('frequency')\n",
    "ax2.hist(v[-1], bins=50)\n",
    "ax2.set_xlabel('volatility');\n",
    "# plt.savefig('../../images/ch12/stoch_11.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "uuid": "398e803e-e0d8-4bc1-9c2a-53ad78cf524d"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     statistic     data set 1     data set 2\n",
      "---------------------------------------------\n",
      "          size      10000.000      10000.000\n",
      "           min         20.556          0.174\n",
      "           max        517.798          0.328\n",
      "          mean        107.843          0.243\n",
      "           std         51.341          0.020\n",
      "          skew          1.577          0.124\n",
      "      kurtosis          4.306          0.048\n"
     ]
    }
   ],
   "source": [
    "print_statistics(S[-1], v[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "uuid": "0b542695-d86d-47d9-8be4-760cd9a7786b"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True,\n",
    "                               figsize=(10, 6))\n",
    "ax1.plot(S[:, :10], lw=1.5)\n",
    "ax1.set_ylabel('index level')\n",
    "ax2.plot(v[:, :10], lw=1.5)\n",
    "ax2.set_xlabel('time')\n",
    "ax2.set_ylabel('volatility');\n",
    "# plt.savefig('../../images/ch12/stoch_12.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Jump-Diffusion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "S0 = 100.\n",
    "r = 0.05\n",
    "sigma = 0.2\n",
    "lamb = 0.75  \n",
    "mu = -0.6  \n",
    "delta = 0.25  \n",
    "rj = lamb * (math.exp(mu + 0.5 * delta ** 2) - 1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "uuid": "4d34dbf3-196e-4125-a11d-f967982540e2"
   },
   "outputs": [],
   "source": [
    "T = 1.0\n",
    "M = 50\n",
    "I = 10000\n",
    "dt = T / M"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "uuid": "b22527e8-afc1-4c69-8253-4e8b6a64f0da"
   },
   "outputs": [],
   "source": [
    "S = np.zeros((M + 1, I))\n",
    "S[0] = S0\n",
    "sn1 = npr.standard_normal((M + 1, I))  \n",
    "sn2 = npr.standard_normal((M + 1, I))  \n",
    "poi = npr.poisson(lamb * dt, (M + 1, I))  \n",
    "for t in range(1, M + 1, 1):\n",
    "    S[t] = S[t - 1] * (np.exp((r - rj - 0.5 * sigma ** 2) * dt +\n",
    "                       sigma * math.sqrt(dt) * sn1[t]) +\n",
    "                       (np.exp(mu + delta * sn2[t]) - 1) *\n",
    "                       poi[t])  \n",
    "    S[t] = np.maximum(S[t], 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "uuid": "19508067-6759-4e88-9276-0d21a0be9e8e"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(S[-1], bins=50)\n",
    "plt.xlabel('value')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_13.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "uuid": "27046a97-3c3c-4265-bde7-45f9b71dc001"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(S[:, :10], lw=1.5)\n",
    "plt.xlabel('time')\n",
    "plt.ylabel('index level');\n",
    "# plt.savefig('../../images/ch12/stoch_14.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Variance Reduction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "uuid": "293a9f5c-7ae1-4994-b11d-64ba5312559a"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "           Mean  Std. Deviation\n",
      "-------------------------------\n",
      " 0.001150944833  1.006296354600\n",
      " 0.002841204001  0.995987967146\n",
      " 0.001998082016  0.997701714233\n",
      " 0.001322322067  0.997771186968\n",
      " 0.000592711311  0.998388962646\n",
      "-0.000339730751  0.998399891450\n",
      "-0.000228109010  0.998657429396\n",
      " 0.000295768719  0.998877333340\n",
      " 0.000257107789  0.999284894532\n",
      "-0.000357870642  0.999456401088\n",
      "-0.000528443742  0.999617831131\n",
      "-0.000300171536  0.999445228838\n",
      "-0.000162924037  0.999516059328\n",
      " 0.000135778889  0.999611052522\n",
      " 0.000182006048  0.999619405229\n"
     ]
    }
   ],
   "source": [
    "print('%15s %15s' % ('Mean', 'Std. Deviation'))\n",
    "print(31 * '-')\n",
    "for i in range(1, 31, 2):\n",
    "    npr.seed(100)\n",
    "    sn = npr.standard_normal(i ** 2 * 10000)\n",
    "    print('%15.12f %15.12f' % (sn.mean(), sn.std()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "uuid": "5940d5f7-72ed-4fd2-8a48-d66c2d5e45db"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8410000"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "i ** 2 * 10000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "sn = npr.standard_normal(int(10000 / 2))\n",
    "sn = np.concatenate((sn, -sn))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "uuid": "732f2ba4-3133-4508-92a1-10ee47519f36"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(10000,)"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.shape(sn)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.842170943040401e-18"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sn.mean()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "uuid": "3f166fbb-ed57-403f-b251-1b5579ec261d"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "           Mean  Std. Deviation\n",
      "-------------------------------\n",
      " 0.000000000000  1.009653753942\n",
      "-0.000000000000  1.000413716783\n",
      " 0.000000000000  1.002925061201\n",
      "-0.000000000000  1.000755212673\n",
      " 0.000000000000  1.001636910076\n",
      "-0.000000000000  1.000726758438\n",
      "-0.000000000000  1.001621265149\n",
      " 0.000000000000  1.001203722778\n",
      "-0.000000000000  1.000556669784\n",
      "-0.000000000000  1.000113464185\n",
      "-0.000000000000  0.999435175324\n",
      "-0.000000000000  0.999356961431\n",
      "-0.000000000000  0.999641436845\n",
      "-0.000000000000  0.999642768905\n",
      "-0.000000000000  0.999638303451\n"
     ]
    }
   ],
   "source": [
    "print('%15s %15s' % ('Mean', 'Std. Deviation'))\n",
    "print(31 * \"-\")\n",
    "for i in range(1, 31, 2):\n",
    "    npr.seed(1000)\n",
    "    sn = npr.standard_normal(i ** 2 * int(10000 / 2))\n",
    "    sn = np.concatenate((sn, -sn))\n",
    "    print(\"%15.12f %15.12f\" % (sn.mean(), sn.std()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "uuid": "de17794f-4dfd-4441-8d0f-bd097ac0da2c"
   },
   "outputs": [],
   "source": [
    "sn = npr.standard_normal(10000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "uuid": "0251bf81-b4d8-4828-80be-9ff972204d06"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.001165998295162494"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sn.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "uuid": "a59c5234-0398-4260-9bcb-d63cd6a7c917"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.991255920204605"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sn.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "uuid": "699ea494-9c78-4ddc-b153-ce291039f77e"
   },
   "outputs": [],
   "source": [
    "sn_new = (sn - sn.mean()) / sn.std()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "uuid": "e5836915-236c-4c1b-9012-20fb52e50608"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-2.3803181647963357e-17"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sn_new.mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "uuid": "5113ce74-07a2-4b16-b8d0-7ed9495ccb9b"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9999999999999999"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sn_new.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "uuid": "f566cd19-61d3-4c69-9391-cb1c906d23c3"
   },
   "outputs": [],
   "source": [
    "def gen_sn(M, I, anti_paths=True, mo_match=True):\n",
    "    ''' Function to generate random numbers for simulation.\n",
    "    \n",
    "    Parameters\n",
    "    ==========\n",
    "    M: int\n",
    "        number of time intervals for discretization\n",
    "    I: int\n",
    "        number of paths to be simulated\n",
    "    anti_paths: boolean\n",
    "        use of antithetic variates\n",
    "    mo_math: boolean\n",
    "        use of moment matching\n",
    "    '''\n",
    "    if anti_paths is True:\n",
    "        sn = npr.standard_normal((M + 1, int(I / 2)))\n",
    "        sn = np.concatenate((sn, -sn), axis=1)\n",
    "    else:\n",
    "        sn = npr.standard_normal((M + 1, I))\n",
    "    if mo_match is True:\n",
    "        sn = (sn - sn.mean()) / sn.std()\n",
    "    return sn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Valuation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### European Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "S0 = 100.\n",
    "r = 0.05\n",
    "sigma = 0.25\n",
    "T = 1.0\n",
    "I = 50000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "uuid": "693f44be-b3dd-4820-9610-a127f0e9b31b"
   },
   "outputs": [],
   "source": [
    "def gbm_mcs_stat(K):\n",
    "    ''' Valuation of European call option in Black-Scholes-Merton\n",
    "    by Monte Carlo simulation (of index level at maturity)\n",
    "    \n",
    "    Parameters\n",
    "    ==========\n",
    "    K: float\n",
    "        (positive) strike price of the option\n",
    "    \n",
    "    Returns\n",
    "    =======\n",
    "    C0: float\n",
    "        estimated present value of European call option\n",
    "    '''\n",
    "    sn = gen_sn(1, I)\n",
    "    # simulate index level at maturity\n",
    "    ST = S0 * np.exp((r - 0.5 * sigma ** 2) * T \n",
    "                 + sigma * math.sqrt(T) * sn[1])\n",
    "    # calculate payoff at maturity\n",
    "    hT = np.maximum(ST - K, 0)\n",
    "    # calculate MCS estimator\n",
    "    C0 = math.exp(-r * T) * np.mean(hT)\n",
    "    return C0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "uuid": "f325da52-3e45-4e9e-a4a2-067efb1c3bb7"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.044221852841922"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gbm_mcs_stat(K=105.)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "M = 50  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "uuid": "511974d5-5ceb-4b68-bf7f-e01eaa43f7c6"
   },
   "outputs": [],
   "source": [
    "def gbm_mcs_dyna(K, option='call'):\n",
    "    ''' Valuation of European options in Black-Scholes-Merton\n",
    "    by Monte Carlo simulation (of index level paths)\n",
    "    \n",
    "    Parameters\n",
    "    ==========\n",
    "    K: float\n",
    "        (positive) strike price of the option\n",
    "    option : string\n",
    "        type of the option to be valued ('call', 'put')\n",
    "    \n",
    "    Returns\n",
    "    =======\n",
    "    C0: float\n",
    "        estimated present value of European call option\n",
    "    '''\n",
    "    dt = T / M\n",
    "    # simulation of index level paths\n",
    "    S = np.zeros((M + 1, I))\n",
    "    S[0] = S0\n",
    "    sn = gen_sn(M, I)\n",
    "    for t in range(1, M + 1):\n",
    "        S[t] = S[t - 1] * np.exp((r - 0.5 * sigma ** 2) * dt \n",
    "                + sigma * math.sqrt(dt) * sn[t])\n",
    "    # case-based calculation of payoff\n",
    "    if option == 'call':\n",
    "        hT = np.maximum(S[-1] - K, 0)\n",
    "    else:\n",
    "        hT = np.maximum(K - S[-1], 0)\n",
    "    # calculation of MCS estimator\n",
    "    C0 = math.exp(-r * T) * np.mean(hT)\n",
    "    return C0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "uuid": "44ae2961-ec7c-4e69-b6ff-17b8093a894b"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.950008525028434"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gbm_mcs_dyna(K=110., option='call')  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {
    "uuid": "bedb79ae-4f01-41ea-b16a-22ea9781fc0e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12.629934942682004"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gbm_mcs_dyna(K=110., option='put')  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "from bsm_functions import bsm_call_value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [],
   "source": [
    "stat_res = []  \n",
    "dyna_res = []  \n",
    "anal_res = []  \n",
    "k_list = np.arange(80., 120.1, 5.)  \n",
    "np.random.seed(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "for K in k_list:\n",
    "    stat_res.append(gbm_mcs_stat(K))  \n",
    "    dyna_res.append(gbm_mcs_dyna(K))  \n",
    "    anal_res.append(bsm_call_value(S0, K, T, r, sigma))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "uuid": "e9e52ba0-6ccb-46df-a089-49505d6c7919"
   },
   "outputs": [],
   "source": [
    "stat_res = np.array(stat_res)  \n",
    "dyna_res = np.array(dyna_res)  \n",
    "anal_res = np.array(anal_res)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {
    "uuid": "3f9f44ec-47de-4891-bf82-2b620c647c9a"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 720x432 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmcAAAFzCAYAAAB7Ha4BAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvDW2N/gAAIABJREFUeJzs3Xl8VNX9//FXkgmBCGHRCIgCKvBBrIILIosCotYFqqDfulRbq22t/X7d0NaltmprW3dFa9Xvr/pV27pUZKkibiiIC4KioggflLK4slQ0YCQkM/P7405WsgzkDpmZvJ+PRx7JnHvvuWf4MPDJOfeckxOPxxERERGR9JDb0g0QERERkWpKzkRERETSiJIzERERkTSi5ExEREQkjSg5ExEREUkjSs5ERERE0oiSMxEREZE0EmnpBoRp3bqNWbtoW+fOhWzYUNrSzZDtpPhlNsUvcyl2mS3b41dc3CGnvvLQkjMzKwQuAzoBVwAXAre4+5aw7tGaRSJ5Ld0EaQbFL7MpfplLsctsrTV+YQ5r3paor7u7lwJLgFtCrL9VKpg6mc4jh0IkQueRQymYOrmlmyQiIiIpFGZy9pW7/wb4D4C7TwM2h1h/q1MwdTJF555NZMliiEaJLFlM0blnK0ETERHJYmE+c9Yu8T0OYGa5wB5NXWRmewPXAQuB3YH/uPvvzOwaYFSNU//g7s+H2N60V3h7/R2PhZNupWz8yTu4NSIiIrIjhJmcfWhmzwM7m9ldwGjgniSu6wI86u7TAczsAzObAeDuo0JsX8bJW7a03vKcpUvZtAnat9/BDRIREZGUCy05c/c7zWwxcCyQA5zv7rOSuG5BnaJc4BsAM/s1UAbkAXcmnmVrNaL9+gdDmnW8HxvAsO+053vfq+D008sZMiRKTr3zPURERCTThLrOmbu/6O6/dPdL3X2WmR2+Ldeb2XjgWXdfCjwO3O7uNwMbgTvDbGsmKL3oknrLF4+7lF12ifPoo/l873uFHHroTkya1IbPP1eGJiIikuly4vFwlgYzs9/WU3ycux+a5PWjgfHARe4eq3OsPzDT3fdsrI6Kimg866bdPvoo/OlP8MEHMGAAXHEFnHoqsRjMmQP33w+TJ8PmzZCbC8ccA2efDePGQZs2Ld14ERERaUS9vSphJmdvAE8nXuYDg4DP3f2nSVx7PHAYwfpo3YFewAR3/2Xi+DjgAnc/qrF6snkR2uLiDqxbt7HeY19/DdOm5fPII/ksXBgkpzvvHOPkkys47bRyBgyI1Xud7DiNxU/Sn+KXuRS7zNac+K1Z8wV33HELe+3Vh3POObfB815+eTZ9+/aje/fdAPjjH6/l5JNPoV+//tt0v9dee4XbbruRO+64p6qupqR8EVrgZ+7+bs0CM7uuqYvM7CDgMeBN4CVgJ+AuoMLMJgFrgf2A/w6xrVmlY0f40Y/K+dGPylmyJJdHHsln8uQI997bhnvvbcOgQVFOO62cCRPK6dixpVsrIiKSel27dmP48MP5/PPPGj1v7tzZtG/fviqhuuKK35KzHQ9yDxs2gocffmi72lpXmBMC6iZm3YEhSVz3FqB5hyHZZ58Yv/tdGVddVcbzz0d45JF8Xnghj3feacvVVxdw3HHBJIIRI6LkamdVERFpxDXXFPDkk+Hu9DhuXAXXXFPW6DmlpaVcffUVDBt2KEuWLOOoo45h7do13HvvXXz/+6fx2WefsmrVSm688TZ22qk9U6dOZsWK5XTpsjNffPE5l156BZFIdbuXLv2Aa665iv33H8iVV17NzJlPMX36FC64YCIffrgMeIrFi99n6NDh3H77TRx33DiOO24cK1eu4OGHH6J37z1ZvvwjjjjiKIYPP4wrrriUffYZwNq1a9l//4EcffSxof4Zhbl9U4zEGmcEY6ifE6xfJi2gTRs4/vgKjj++gi++yOGf/wyGPadMCb722CPGKaeUc+qp5fTsmbWjwSIikoFyc3P5/vdP57jjjmT58k+YOPF8/vrXh5g58yn69jXOOOMsbrnlBhYseINRo8ZQXLwrJ5wwgdzcXG6//Sbmz5/HsGEjqurr338AZ5zxI5YuXVJV/3nnXcCAAd+hb99+HHvsWA488GAADjjgoKrr/vSn33HhhZcwYMB3+M9/1hPMV4TjjhvLYYeNIhqN8oMf/Ff6JmfAde5e36QAaWHdusW54IItnH/+FubPz+ORRyJMm5bPzTcXcPPNBRx2WNCbdtxxFbRr13R9IiLSOlxzTVmTvVypEI/Hefvtt1ixwikri/HVVxuqju2xR08AOnXqRGlpsMJW27Zt+ctf7qBjx06sWLGi3ufFjjrqGB588D42bdrEokXv8N3vHtdkO5Yv/5Dddw/W0995510YNmwEFRUVrFy5gmXLnDZtCmq1LSxhDmtulZiZ2Xh3nxrWPaR5cnJgyJAoQ4ZEue66Mp58MsLDD+czd26EuXMjFBXFmTChnNNPL2fgwJjWThMRkRbx5JPTWL9+Hb/+9WV8/vkGpk9/oupYfc+DXXXVZTzwwCN069aN0tJv6q2zoKCAo446huuv/z3Dhx9WVZ6beMbnk08+pkuXnWtd06dPPz799BOKijqybt1a3JcSj8dYsOAN7rgjWGf/iScea/b7ravZyZmZ3d/AoRzgEEDJWRpq3x5OO62C006rYPnyHB55JJ/HHsvngQfa8MADbdhnnyinn17OSSdVsMsuGvYUEZEdZ8iQocyePYsbbriB/Px2bNq0iVmznmPNmi+YMeNfHHvsWN59923+/e+PGDp0BCeeeBK33noD++8/kPffX8Tq1Ss56KDBvPrqy2zcuJEVK/7NnnvuxYQJ/8XPfnYWv/3t76vudfDBh/Dkk9OIxWKceeaPq+odPHgIl1/+Gx5++CHefHMB69at4cwzf0wkEuGxxx7mtttupLh4VzZv/pannppOly47s2bNF0yb9gTnnXd+s95/s5fSMLMXgQcbOHxGU8tfhKm1LqURlooKmD07j4cfzufZZyOUl+eQnx/nu98Nhj1HjYoSCfe50FZD0/kzm+KXuRS7zBZm/MrLy/nqqw3MmPEvzjrrJ6HU2VypXEpjoru/U98BM6u3XNJTJAJHHhnlyCOjrF+fwxNPBMOeTz0VfHXrFkwiOO20cvbaK2vzYBERyTKbN2/msssupmfP3o2ueZYuQluEFsDMcgkWka1cpv9ad/9xaDdognrOwhePw7vv5vLww8Esz5KSIMk/9NCgN23s2AptwJ4E/fae2RS/zKXYZbZsj19DPWehrXRlZicCK4HFwBzgfWBsWPVLy8jJgUGDYtx4YxnvvbeJu+/+lsMOq2DevAgXXNCO/fZrz8UXFzB/fi4h5vkiIiKtVpjLkJ4I7AX8X2IPzG40/CyaZKB27eCkkyp44olvefPNTVx6aRmdO8f5xz/aMHbsTgwfXsidd7ZhzRpN8xQREdleYSZnn7l7BcG+mrh7KcFWTJKFevaM86tfbeHNN7/h8cdLmTChnI8/zuX3vy9g0KCdOPPMdjz9dITy8pZuqYiISGYJc+7dvma2P7A5sSfmf4CDmrhGMlxuLowcGWXkyChffQVTpuTz6KPBbM9nn42wyy7BBuynn15O//7agF1ERKQpYfacXQFsBn4PFBBsVv6zEOuXNNepE5x9djnPPVfKSy99w7nnbiEWg3vuacPhh+/EMccU8uCD+ZSUtHRLRUQkLAVTJ9N55FB26d6ZziOHUjB1ckru889/Prxd551zzplEo9FUNCllQputaWY/cfe/hlLZdtJszfRTVgbPPRdswP7ii3nEYjm0axfn+OOD3rTRax+j/aRbyFu2lGi//pRedAll409u6WaHLlPjJwHFL3MpdqlVMHUyReeevVV5yb33h/Jvec34nXzyOCZPfrLJa+qeF4/H691VIB2kcp2zSr80s0OBKcBMd8/aREmSV1AA48ZVMG5cBZ9/HmzA/vDD+UyenE/e5CcYT/WHOrJkMUXnnk0JZGWCJiKSbQpvv6X+8km3Nuvf8dWrV/LQQ//Hvvv25/33P2CvvfqwadNG7rvvXnr16s2wYYdx9dVXMHDgAaxevYqjjjqGwYOHMGvW87XOa9u2LbfffjN33nkv3bvvxty5s3njjXl0796d999/j/PPv5jdduux3e1MlTCTs/OAV4GTgAfNbAXBzM2VId5DMlj37nEuvHALF1ywhTfeyGPgmX+Ar7c+r82tzftQi4jIjpG3bOk2lSdr3rzXaNOmDWeddRZLlvybNm0KmDp1ctUCsps3b+b73z+dwYOHUFLyNRMnns/gwUMYM+Yo7r77jloLzT766D8AKCkp4dZbb+Sxx6bRpk0bFi58kzDXeg1TmM+cveHuZcCjwGTgeODNEOuXLJGTA4ceGmWPTUvqPZ7nSzn11HY89liEjRqNEBFJW9F+/bepPFnjxo2nc+cu/OAHP+C+++4lUmfvwHg8zttvv8UDD/yV6dOn8tVXG5qs89NPP6aoqIg2bdoAcOCBB9Ojx+7NameqhJmc/c3Mrgc+AS4EbgPS811LWmjow7ui7QBefDHC+ee3Y99923P22W156qkImzfv4AaKiEijSi+6pP7yCyc2q94PPnifM844i8cff5wuXXbmmWeeIjc3l3g8zrJlS3nyyWmsX7+Os876Caeddkata2ueV1OPHntQUlJCeWKNp4UL32TVqpXNameqhDmsOYxgd4AR7v7vEOuVLFV60SX1PkjabdJFzBu4iSlT8pk6NVK1t2eHDnGOO66C8ePLOfxwbcIuItLSysafTAnBM2ZVE7sunNjsR1NKSr7mzjtvpW/fvfjqqw2MH38yX3zxOX/+8+3EYjFOPPEkZs+exV13TaKoqIhNmzYxe/YsRo0aw7BhI6rOW79+PWvWfMG0aU9w3nnnM3Hir7j99pvo1q07JSUlnHvuf4fzBxGyMGdrjnP3pqdRpJBma2aegqmTG/1Qx+Pw/vu5TJ0aYdq0fD75JOjs3WWXGOPGVTBhQgWDB0fJDbMPOAWyNX6theKXuRS7zJbt8WtotmaoG5+3NCVn2S0WgwUL8pgyJcKTT0ZYvz7IyHbfPcaJJ5YzfnwF3/lOjHScMa34ZTbFL3Mpdpkt2+OXtsmZme0NXAcsJHhG7T/u/jsz6wJcD/wb6Atc6e5rGqtLyVnrUVEBL7+cx9Sp+cyYEWHTpuDvd9++UcaPr2DChHL22it9/joofplN8ctcil1my/b4NZScpcNgUBfgUXe/yd0vBE41s4OAPwIvuPv1wDTg5pZspKSXSASOOCLKnXdu5oMPNnH//d8ydmw5q1fncuONBRx6aHuOPrqQu+/O5/PP07ArTUREpAEpTc7M7PymznH3Be4+vUZRLvANwVIcryfKXk28FtlK27YwdmwF998fJGp33vktRxxRwXvv5XL11W0ZNGgnTjyxHQ8+mM+XX7Z0a0VERBoX2nw3MxsLXAnsSpBg5QCdgTu3oY7xwLPuvtTMdgUq+zJLgM5mFnH3irDaLNmnQwc45ZQKTjmlgvXrc/jXvyJMnRrhtdeCryuuKGD06Cjjx5dzzDEVtG/f0i0WERGpLczZmkuB84HlQJQgObvC3c9t9MLq60cD44GL3D1mZh8Dw9z948TzZx+5e5fG6qioiMYjkbxmvQ/JTqtXw2OPwSOPwNtvB2Xt2sG4cXDaaXDsscFWUyIiIjtQyvfWXOzuz9csMLM/JHOhmR0PHEaweG13M+sFzACGAh8DwxOvG7VhQ+m2tjljZPtDkanWrh2cdVbw9eGHuUyZEmHq1Hz++c9c/vlPKCqKM3ZsMONzxIgoeSHn+IpfZlP8Mpdil9myPX7FxR3qLQ+z5+w2oBPwGlCWKD7D3Y9u4rqDgDlUb/W0E3AX8C/gBmAVsDdwuWZrZu9f0JYQj8OiRblMmZLPtGkRPv88eASzuDjGCScEi90efHA4S3MofplN8ctcil1my/b4pXwpDTP7FHiuTvEh7r5vKDdIgpIz2V6xGMybF6yh9tRTEb78MkjUevaMMX580KM2YEBsu+tX/DKb4pe5FLvMlu3xayg5C3NY8/fufk/NgsRwpUjay82FYcOiDBsW5U9/KmPOnDymTMln5swIkyYVMGlSAf37B2uojR9fTu/eWft7gIiItLBQF6E1s2KCZ8fiwCvuvi60ypOgnjMJW2kpPP98hClTIsyaFWHLluCXnIMOCmZ8nnBCBV27Nv3XTvHLbIpf5lLsMlu2x29HDGseCfwN+IRg9sFuwJnuPiuUGyRByZmk0tdfw9NPR5gyJZ+5c/OIxXLIzY0zfHjQozZ2bDmdOtV/reKX2RS/zKXYZbZsj9+O2CHgbGAfdx/s7gcD+wI/DbF+kRbVsSOcdloFjz/+LYsWfcMf/7iZAw+MMXduhIkT27Lvvu0588x2TJ0a4ZtvgmsKpk6m88ihEInQeeRQCqZObtk3ISIiaS/MZ85Wu/tXlS/cfYOZfRJi/SJpY9dd4/zkJ+X85CflrF6dw7Rp+UyZEuHZZ4OvwsI4v9/3H0xccHbVNZEliyk692xKgLLxJ7dc40VEJK2FmZz1NLNxBFstxYERQI8Q6xdJSz17xrnggi1ccMEWli7NZerUYOjzyAU31nt+4aRblZyJiEiDwhzWvAK4DFif+Pplokyk1ejfP8YVV2xh/vxv+E7uB/WftGQpjz0W0T6fIiJSr9CSM3df5e4jgCKgo7sfTvVitCKtSk4OxKx/vccWxwdw/vnt2Hff9owf347//d98Vq8OYaVbERHJCs1OzsysY+L74WZ2OHAgcGDi5z83t36RTFV60SX1lre99mKuuqqMQYNivPpqhKuuasvBB7dn9OhCbrihDe+9l0uIK9yIiEiGafZSGmb2IXAkwbNmH9Y53Mfd92jWDbaBltKQdFMwdTKFk24lsmwpFf36U3rhxFrPm61Zk8Mzz0R45pkIc+fmVa2jtvvuMY45poJjj63g0EOj5Oe31DsQ0Ocvkyl2mS3b45eydc7MLMfd42b2E3f/a51jW5WlkpIzSVfJxG/jRnjxxQgzZ0Z44YUIJSXBZ7ZTpzhHHhkkaqNHV9C+/Y5osdSkz1/mUuwyW7bHL2XbN7l7ZUK0qma5mf0QqGhu/SKtRYcOcMIJFZxwQgVbtsDrr+cxc2bQqzZ5cj6TJ+dTUBDn8MOjHHtsBUcfXcGuu2bt7yMiIq1WmLM1x9V84e4PAUeEWL9Iq9GmDYwcGeX668t4++1veP75b5g4sYy99orx/PPBorf77bcTxx9fyJ13tmH5ck0oEBHJFmEMa/4fwbpmQ4A3ahzKA/q6+7Bm3WAbaFhT0lWY8Vuxovo5tTfeCLaRAujXL1r1nNoBB8TIDfNXr1ZOn7/MpdhltmyPX8qGNYHZie97AHNqlG8G5oZQv4jUsOeecc47r5zzzitn/focXnghj6efjjBnToQ77ijgjjsK6No1xne/W8Fxx1UwfHiUgoKWbrWIiCQrzI3P+7j7R6FUtp3UcybpakfEr7QU5swJJhQ891weX34ZdJ21bx9nzJigR23MmAo6dkxpM7KSPn+ZS7HLbNkev1T2nFX6xsweB0YTDHO+BFzo7p+HeA8RaUBhIRx7bJCEVVTAggVBj9ozz0SYPj2f6dPziUTiDB8eTCg45pgKdtsta3+fERHJWGH2nD0DPEcwtJkDjASOcvdjQrlBEtRzJumqJeMXj8OSJbk880zQq/buu3lVxwYNqn5OrX//GDmaV1Avff4yl2KX2bI9fjui52yNu99a4/WbZrZfiPWLyHbIyYEBA2IMGLCFiRO38OmnOVWJ2muv5fHOOwVcf30BvXrFOPbY4Dm1wYOj5OU1XbeIiIQvzPlc682sQ+WLxM9fJH7+WYj3EZFm6NEjzjnnlDN58rcsWbKJu+/+lu99L5hccM89bfje9wr5znd24sIL2/LMM3mUlrZ0i0VEWpcwhzXfBPoAixNFA4APgC0ES2rs3sB13YDrgIHuPjhRdhbwc4IZnwD3ufvfmmqDhjUlXWVC/MrK4JVXqhe+Xbs2+N2tXbs4o0YFQ59HHRVl552z9mPWoEyIn9RPscts2R6/HTGsuRqob6fnHODiRq4bAUwHBtUpP9XdV4bTNBFpSkEBjBkTZcyYKDfeWMbbb+cyc2Yk8ZXPzJn55ObGOfTQ4Dm1Y46pwN5+nMLbbyFv2VKi/fpTetEltfYOFRGRbRdmcnahu39c3wEzW97QRe4+2cxG1XPof8zsC6AQ+LO7fxlOM0WkKbm5cNBBMQ46aAtXXbWFjz7KYebMfJ55JsLrr+fx2msRFv/2UR7l7KprIksWU3Tu2ZSAEjQRkWYIMzlbb2Y3AMcSLKUxE7jW3b9tKGlrxBxghruvM7PjgMeBMSG2VUS2QZ8+cc4/fwvnn7+FtWtzeO65CCf89g+waetzN19zGx8f9F/07Nn6hj9FRMIQ5jNn9wBfAq8SDGUOA7q4+8+TuHYUcLO7H1zPsbYE/wUUuHu0sXoqKqLxSERTzER2iEgEolt/JMuJ0IZy+vaFo4+Go46C0aOhqKgF2igikt5Svwitu19Z4/VTZjZpeyoysz8Bv3H3CqAvsKKpxAxgw4bsnVaW7Q9FZrtsjF/nfv2JLFm8VfmGbvtwzKByXnklwl135XDXXZCXF+fgg6OMGhVl1KgKBg2KZdRSHdkYv9ZCscts2R6/4uIO9ZaHmZx1qqesyd+VzWwkcCbQ3cyuAm4hWILjbjNbAeyXOC4iaaT0oksoOvfsrcrbXnsxD43fTHk5vPVWHrNn5zFnToQFC/J4440IN9xQQMeOcQ47rIJRo6KMHFlBr14aAhURqRTmsOYFBEnU6wTPnA0HHnL3O0K5QRK0lIakq2yNX8HUyRROurV6tuaFExucDPDVVzB3bqQqWVu9unqZxT33jDFqVJCsjRhRQYf6f5lsMdkav9ZAscts2R6/hpbSCC05AzCzMQQTAgBmuvus0CpPgpIzSVeKX23xOKxYkcPs2UGy9sorETZtCv6NysuLc9BBtYdAI2H28W8HxS9zKXaZLdvjt0OSs5am5EzSleLXuPJyWLgwGAKdPTvC22/nEosF/2ZVDoGOHBkkay0xBKr4ZS7FLrNle/yUnGW4bP8Lmu0Uv23z1VfwyiuRqmStviHQkSODIdAdMQtU8ctcil1my/b4KTnLcNn+FzTbKX7br+YQ6Jw5wRDoxo07dghU8ctcil1my/b4tUhyZmYF7l6WshvUoeRM0pXiF56aQ6Bz5kRYuLB6CLSoqPYs0N69w/knQfHLXIpdZsv2+KVsb00z69nI4WuBHzf3HiIilfLzYciQKEOGRLnssi18/XX1LNDZsyPMmJHPjBn5APTuXXsWqBbCFZFMEMYAwPvAeupf5bYzSs5EJIU6doSxYysYO7YCKNtqFugDD7ThgQeCIdADD6xM1io44ICWnwUqIlKfMP5putHdr6vvgJldEUL9IiJJ23PPOHvuWc6Pf1xORQUsXJibSNYivPVWLgsWFHDTTQUUFcUZMaKi6nm1sIZARUSaK9XPnI1396kpu0EdeuZM0pXilx6+/rp6FuhLL9WeBdq7d4yRI4Nk7bDDgiHQgqmTKbz9FiLLllLRrz+lF13S4CK7kp702cts2R6/lE0IMLP7GziUAxzi7vs26wbbQMmZpCvFLz2tWJHDnDlBsjZ3bu1ZoJf1eoQ//PsHW11Tcu/9StAyiD57mS3b45eyCQFAb+DBBo7tHkL9IiIpUTkEetZZ1UOgQbIW4ZQF19d7TewPt7LxyJPTbospEckeYSRnE939nfoOmFm95SIi6SYSgUMOiXHIIVv45S+3sEv3DyC69Xk7rV7Kzn3bM2BAjEMPDWaNHnJIlO7ds7bjXkR2sGYnZzUTMzPLBboDeYmii9BsTRHJQNF+/YksWbxV+dpd9mFI3ygLF+bx/vt5/PWvQXnPnrGqJT6GDInSt2+M3NytLhcRaVJoE8nN7ETgDqAI2ADsDOywBWhFRMJUetElFJ179lblHf5wMdPHf0tZGSxalMu8eRHmz89j/vw8Hn88n8cfD9ZY69w5ziGHBL1qQ4ZUMHBgjIKCHf0uRCQThbnKz4nAXsBN7n6xmRUCvwuxfhGRHaZs/MmUAIWTbq2erXnhxKrJAAUFMHhwjMGDtwAQi8GHH+byxht5VV/PPhvh2WcjQAEFBXEOOKC6Z23w4CgdO7bc+xOR9BVmcvaZu1eYWT6Au5ea2U4h1i8iskOVjT+ZsvEnU1zcgQ1NzBjLzQWzGGYxfvjDcgA+/zyH+fOrk7X58/OYNy/4ZzcnJ07//sFQaOWzaz166Lk1EQk3OdvXzPYHNpvZJOA/wEEh1i8iklG6d49zwgkVnHBCBQAbN8Kbb1Ynam+9lceSJXk88EBw/u67xxLDoMFX//56bk2kNQozObsCqAB+D9wA7Af8LMT6RUQyWocOMHp0lNGjg2mg5eXw3nu5zJtXnbBNmZLPlCnBc2tFRfFaydqgQVHatm3JdyAiO0KYydmHQFt33wj83Mx2dvf/hFi/iEhWyc+HAw+MceCBMX7xi3LicVi+PIc33ohUDYW+8EKEF14I/qlu0ybOwIExhgypqHpurUuXFn4TIhK6MJOzRwlmZ56eeH29mc139/8X4j1ERLJWTg706ROnT59yfvCD4Lm1NWtyqmaDvvFGHgsXBvuD/vnPwTVm0Vq9az17xsmpd81xEckUYSZna939vMoX7v5TM/tLUxeZWTfgOmCguw9OlLUFbgY+BfoC17v7shDbKiKSEbp2jTNuXAXjxgXPrW3aBAsXVk8yePPNPNzz+NvfgvO7daueZHDIIVEGDIiRl9fIDUQk7YSZnJXWU1aexHUjgOnAoBplFwGr3f1GM9sPuA84rPlNFBHJbO3bw+GHRzn88OC5tYoKWLw4WMKj8tm16dPzmT49P3F+nMGDq3vWDjggSmFh9abuecuWEtWm7iJpJczkrJ2Z3QK8CsQJkq4m63f3yWY2qk7x8cCViePvmdlAMyty95IQ2ysikvEiERg4MMbAgTF+9rPgubUVK2ov4fHSSxFeeimSOD/OL/d4hD+uqF5gN7JkMUXnnk0JKEETSQNhJmeXAL8mkVQBTwNXbWdduwI1FxUqSZQpORMRaURODuxR/A7eAAAgAElEQVS1V5y99qrg1FODodD166uTtfnz8zjtrfo3df/mN7fxcsdT2G+/GMXFWnNNpKXkxOMt/wFM9Jzd7O4HJ17PBa5097mJ1yXA7k31nFVUROORiB6uEBFpTDwSISe69a7u5URok3gaZffd4aCDan917bqjWyqS9eqdvhNmz1mYZgBDgbmJZ87eTWZIc8OG+h57yw7FxR1Y18QK5ZK+FL/Mlm3x69zApu4b9+jPJd8vY9GiPN59N5fp03OZPr36eLduwfDp/vtHGTgwysCBMbp2bflf8BuTbbFrbbI9fsXFHeotb/HkzMxGAmcC3c3sKuAWYBJwc+J1H+CcFmyiiEhWaWhT98hVE7ls/Jaq1198kcOiRbm8+25eVcJWvV9ooGvXIGHbb7/qhK1bNy3nIdIcaTGsGZZ16zZmz5upI9t/e8h2il9my8b4FUydTOGkW6tna9bY1L0xa9YECVtlsrZoUR6ffVZ7j6ni4po9bMH33XZrmYQtG2PXmmR7/IqLO9T7qUhpcmZmV7v7tSm7QR1KziRdKX6ZTfFr3Lp1NXvYgoTtk09qJ2y77BJj//1jDBwYrfreo0fqEzbFLrNle/waSs5CG9Y0s58B1xDMqsxJfMWBHZaciYjIjldcHGfMmChjxlRPMli/vnYP23vv5fHiixFefLH6v52dd46x3361E7Y99tCQqEiYz5xdBIwElrt7DMDMrgixfhERyRC77BLniCOiHHFEdcL25ZewaFH182vvvpvH7NkRZs+u/q+oc+c4++8frTUk2quXEjZpXcJMzt519w/rlM0MsX4REclgXbrAqFFRRo2qTti++opEspZXNTQ6Z06EOXOq/3vq1CleNeFg//2DhG3PPZWwSfYKMzn7xsxmAfMINkAHOA44NMR7iIhIFunUqfZ2VABffw3vvVc94eDdd/OYOzfC3LnV/2UVFVX2sMUSs0Sj9O4dJzfxqFvl9lQsW0pnbU8lGSbM5Gw08FDi55w630VERJLSsSOMGBFlxIgolVs0l5QECVvNiQevvprHK69U/zfWoUPQw3Z24aOc84K2p5LMFWZydqm7T61ZYGbPhli/iIi0UkVFMHx4lOHDqxO2TZtq97AtWpTL66/ncXf8xnrrKP3Nbcza6RT69YvRs2d1L5tIugktOaubmCUMJhjmFBERCVX79jB0aJShQ2snbL36fACxrc/fee0SzjijEIB27eL07RvDLPjq1y+KWZC05WkXQGlhYS6l0R+4FegL5BEMaXYG7gzrHiIiIo1p3x5i1p/ceren2ocrzyzDPRf3XJYtC3rcamrbNk6fPtVJW/AVzBhV0iY7SpjDmr8BfgucB/wO6AWcGmL9IiIiTWp4e6qLuajG9lTRKKxenZNI1PJYujRI2D78MJf336+diRUU1E7a+vULkrbeveNEWnwjRMk2Yf6VWuXub5rZRndfBawysxNCrF9ERKRJZeNPpgQonHQrkWVLqWhge6q8PNhzzzh77hnlmGOqZ4vGYkHStmxZLkuX5rFsWW7V1+LFtZO2Nm3i7L13jP79g4StX7/g5969Y+Tn74h3K9kozOSst5ntBOxkZicCXwKHhVi/iIhIUsrGn0zZ+JMpLu7Ahm3c/ic3F3r3jtO7d5Sjj66dtH3ySU6NYdG8qp+XLKmdtOXnBz1tNRO2fv1i7LWXkjZpWpjJ2XSCZOwWYBrQhWDXABERkYyXmws9e8bp2TPKUUdVT0KIxeDTT4OetiBZy6v6uW7SFokEPW3BsGj1EOnee8do06YF3pSkpZRufL6jaeNzSVeKX2ZT/DJXS8YuHofPPsupNQGhcph048bay4Dm5cXZa6/aSZtZkLQVFLRI89NCtn/2dsTG57sCNwHtgLOA24DL3X1DWPcQERHJFDk50KNHnB49au8xGo/DF1/kVE1AqOxtc8/lww/zmDGjuo68vDi9e8cxi9bqadvvg3/S6a5byFu2lKh2QMg6YQ5r3gS8DIxy91Izuwe4EfhpiPcQERHJaDk50L17nO7do4weXTtpW7OmuqetsrfNPY+nn87n6aeD807hUR5l6x0QXn0vl5zTTqZnz9bd25YNwkzOPnX3+8zsYAB3f9vMvgqxfhERkayVkwPdusXp1i3KyJG1k7a1a3OqkrUzbvoD1DMm1f7PtzLozz8iJyfObrvF6d07Rq9escTkhljVV6dOO/BNyXYJMznbOfE9DpCYubl3iPWLiIi0Ojk50LVrnK5dgw3id/nNknrP+07uB5x+6hZWrsxl5cpcXnstj1df3fq/+U6d4omkrfKrOnnr3l3bWqWDMJOzF8zsfaDAzGYABwPnh1i/iIhIqxft159IPTsgxPv35/bby6peb94MH3+cy8qVOVUJW/AVPO/27rtbb3nQpk2cnj237m3r1Ssob9cupW9NEsLcW/NxM3sXOIpg66aJ7u5h1S8iIiIN74BQeuHEWq/btoW+fWP07QsQrXUsFgsmJVQma5WJ26pVwfePPqp3EiHdu9fubavZA9e5c9DLJ80X9qYT+QSJWTyMus1sHrA58TLq7mOaW6eIiEgmq7kDQtVszXp2QGhMbi7stluc3XaLMmzY1se//ppavW2rVlUncPPm5fH661tnYUVF8Ro9bbV733bbTXuTbovQ1jkzs/8Bfg28SZCgHQhc5+5/aUad17j7Ncmer3XOJF0pfplN8ctcil34ysrg449zavW0VfbArVqVy+bNWydu+flxevas+6xbkMD17BmjsLD2+QVTJ1N4+y3V229l6VIhKV/nDJgA7OXu3wKYWSEwA9ju5AzYz8wuI1g7bYG7z2jqAhEREUmdggLo0ydOnz5R6hsuXbMmJ5G0bf2s2/Ll9acdXbtWJ2vfK32U05/ceqmQEsjKBK0+YSZniysTM4DEWmfvAJjZbu7+2XbUeYO7zzezPODlxKbqL4fVYBEREQlPbm71Gm6HHrr18ZISqnrbVqyoHi5dtSqXBQvyeOONHK7kpnrrLpx0a6tJzsIc1pxEsPLKq4miocBOBL1nE939xGbWfz3wrbtf29A5FRXReCSiQW0REZFMs2ULrFoFe/ePkBuLbn1CJALl5Tu+YamV8mHNk4APgZF1yg8B+m5rZWbWHxju7vclivoCUxq7ZsOG0m29TcbQcxOZTfHLbIpf5lLsMkunThCz/uTWs1RIRb/+bMiyWBYXd6i3PMzk7Pfufm99B8zsvO2orwQYa2a7AUXAx8AjzWifiIiIpLlklwrJZqENawKYWTFwGMFSGq+4+7rQKk+CZmtKulL8Mpvil7kUu8xUMHUyhZNurZ6tuY1LhWSKlM/WNLMjgb8BnxCMoe5mZj909xfCuoeIiIhkv7LxJ1M2/mSKiztk3VBmMsIc1jwb2MfdvwIws87A3YCSMxEREZEkhbm96erKxAzA3TcQ9KKJiIiISJLC7DnraWbjCJbSiAMjgB4h1i8iIiKS9cJMzq4A/gEMI0jOXgXODLF+ERERkawXZnI2EPhvYDmAu28KsW4RERGRViHM5Ow+YJySMhEREZHtF+aEgDnuPq9mgZmNDbF+ERERkawXZs/Zv83sMYKlM8oSZWcAT4V4DxEREZGsFmZy9gPgOYIJAZU0W1NERERkG4S9t+Y9NQvM7PgQ6xcRERHJeqE9c1Y3MUtoE1b9IiIiIq1BmHtr3l9P8RBgalj3EBEREcl2YQ5r7gH8PfFzPjAIeDrE+kVERESyXqgbn7v7xzULzOz6EOsXERERyXphJmc5ZtYz8XMu0J3aMzdFREREpAlhJmfvAf8Bcgj21vwcuDHE+kVERESyXpjJ2dXufnuI9YmIiIi0OmEupVErMTOzHjWGOUVEREQkCc1OzsxsqZn9rp5DpwP/bG79IiIiIq1JGD1nL7n7b83s/8xsuZldAuDuNwELQqhfREREpNUI45mzOIC7/9jMHnH3W+oe215mdiQwAVgLxN392ubUJyIiIpLuQnvmLKFZyVhNZlYI3ANc7O7XAPub2Ziw6hcRERFJR2H0nE0ws0GJn/ua2Ws1jvUGLtjOeocCq9y9LPH6VeB4YNZ21iciIiKS9sJIzj4AHmzg2BnNqHdXYGON1yWJsgYVF3fIacb90l5xcYeWboI0g+KX2RS/zKXYZbbWGL8wkrOr3P21+g6YmTej3rVAzYgUJcpEREREslaznzlrKDFLHJvXjKpfB3qZWUHi9XBgRjPqExEREUl7OfF4aM/wh87MjgJOBtYB5ZqtKSIiItkurZMzERERkdYm7KU0RERERKQZlJyJiIiIpBElZyIiIiJpRMmZiIiISBpRciYiIiKSRpSciYiIiKQRJWciIiIiaUTJmYiIiEgaUXImIiIikkaUnImIiIikESVnIiIiImlEyZmIiIhIGlFyJiIiIpJGlJyJiIiIpBElZyIiIiJpRMmZiIiISBpRciYiIiKSRpSciYiIiKQRJWciIiIiaUTJmYiIiEgaUXImIiIikkaUnImIiIikESVnIiIiImlEyZmIiIhIGlFyJiIiIpJGIi3dgDCtW7cx3tJtSJXOnQvZsKG0pZsh20nxy2yKX+ZS7DJbtsevuLhDTn3l6jnLEJFIXks3QZpB8ctsil/mUuwyW2uNn5IzERERkTSi5ExEREQkjSg5ExEREUkjSs5ERERE0khWzdYUERHJdGdf/2LS595/+REpbIm0FPWciYiIiKQRJWciIiIiaSRlw5pm1g24Dhjo7oPrOX4WcCiwHDgQuNPdX0scmwdsTpwadfcxqWqniIiISDpJ5TNnI4DpwKAGjvcALnL3zWY2BPgrsF/i2DPufk0K2yYiIiKSllKWnLn7ZDMb1cjxP9R4mQtsqvF6PzO7DGgHLHD3GalppYiIiEh6afHZmmaWA1wITKxRfIO7zzezPOBlM9vo7i83VVfnzoVZvdVDcXGHlm6CNIPil9kUv8yVzbHL5vdWqTW8x7paNDlLJGY3AQ+4++uV5e4+P/E9amZzgdFAk8lZlm+Oyrp1G1u6GbKdFL/MpvhlrmyPXTa/N8j++DWUeO7Q2ZpmtpOZFSd+zgMmAU+6+zNmdlKivL+ZnVPjsr7ARzuynSIiIiItJZWzNUcCZwLdzewq4BbgLIKH/n9O0GN2IrC/mQHsDTwBlABjzWw3oAj4GHgkVe0UERERSSepnBAwB5hTp/iuGscnUvs5s8ryz4DxqWqXiIiISDrTIrQiIiIiaUTJmYiIiEgaUXImIiIikkaUnImIiIikESVnIiIiImlEyZmIiIhIGlFyJiIiIpJGlJyJiIiIpBElZyIiIiJpRMmZiIiISBpRciYiIiKSRpSciYiIiKQRJWciIiIiaUTJmYiIiEgaUXImIiIikkYi23KymRUDX7p7NIlzuwHXAQPdfXA9x3OBPwKbgF7Afe4+L3HsSGACsBaIu/u129JOERERkUyVVM+ZmY0ws0XANOAtM/tpEpeNAKYDOQ0c/z5Q5O7XAZcBD5lZnpkVAvcAF7v7NcD+ZjYmmXaKiIiIZLoGkzMz61Xj5RnAYHcf7u6DgH2bqtjdJwMbGznleOD1xLlfApsT9Q4FVrl7WeK8VxPnioiIiGS9xoY1J5nZa8AtwAbgfDN7G+gGFIdw712pnbyVJMqKGygXERERyXoNJmfufqKZnQ7MJHg2bB/gJOBT4MIQ7r0W6FDjdVGiLN5AeZM6dy4kEskLoWnpqbi4Q9MnSdpS/DKb4pe5sjl22fzeKrWG91hXoxMC3P1hM5sB/IkgabrC3b/e3puZ2U5AobuvA2YAhwN/M7MuQFtgMVAA9DKzgsTQ5nDgL8nUv2FD6fY2Le0VF3dg3brGRoklnSl+mU3xy1zZHrtsfm+Q/fFrKPFsMDlLPHN2PvA1wQP7+wKPm9n97v5oUzc0s5HAmUB3M7uKYHj0LGA/4OfAP4EDzOxqoCfww8Qs0FIzOw+4w8zWAYvcfVayb1REREQkkzXWc3Y98AjQBfidu19sZscCE81sirtPaKxid58DzKlTfFeN4zGCpK++a58Hnk+i/SIiIiJZpbGlNL5w938BDwGFAO4edfebgIt2RONEREREWpvGkrOvzOwt4D2CSQFV3H11SlslIiIi0ko1mJwlVuUfDRzk7tN2XJNEREREWq+mZmuW7KiGiIiIiIg2PhcRERFJK0rORERERNLIdiVnZnZM2A0RERERkSaeOQMwsz2BnwBdqU7mhgDPpLBdIiIiIq1Sk8kZMJVgq6XXgGiibI+UtUhERESkFUsmOfvC3X9ds8DMXkxRe0RERERatWSSs5fM7EcEPWdlibKrgJ+lrFUiIiIirVQyydnVwJo6ZZ1RciYiIiISumSSswfd/byaBWamvTVFREREUqDJpTTqJmYJq1LQFhEREZFWr8GeMzP7CfAIcGedQznAIQSzOEVEREQkRI0Na/YF2hIsm/H3Osd2T1mLRERERFqxBpMzd78MwMwmuvt7NY+Z2cJkKjezI4EJwFog7u7X1jl+H7B3jaL9gQPdfaWZrQRWJso/dfcfJHNPERERkUzW5ISAuolZQ2V1mVkhcA+wr7uXmdkTZjbG3WfVOO05d38scX4R8IC7r0wce8Ddr0niPYiIiIhkjWRma26vocAqd69cG+1V4HigKjmrTMwSzgHur/H6cDP7FdABmOnur6WwrSIiIiJpIZXJ2a7AxhqvSxJlWzGzXOC7wO01ii939/mJHriFZjbW3T9q7IadOxcSieQ1s9npq7i4Q0s3QZpB8ctsil/myubYZfN7q9Qa3mNdSSdnZtbZ3TdsQ91rCXq9KhUlyupzAvCUu8crC9x9fuJ7qZm9AwwHGk3ONmwo3YbmZZbi4g6sW7ex6RMlLSl+mU3xy1zZHrtsfm+Q/fFrKPFscp0zMzsk8XD+M2ZWaGZzzOzAJO75OtDLzAoSr4cDM8ysS+L5sprOAh6occ8xZnZMjeN9gOVJ3FNEREQkozWZnAEXAmOAhe5eChwD/HdTFyXOPQ+4w8yuAxYlJgNcDvyi8jwzGwQsc/dNNS5fC/zUzK40sz8DT7j7K8m+KREREZFMlcyw5kp3X25mALj7t2b2VTKVu/vzwPN1yn5V5/U7wDt1yt4DTkrmHiIiIiLZJJmesx5m1gOIA5jZCGqvTSYiIiIiIUmm5+xWYDZBkvYj4AtgfCobJSIiItJaJbPx+SJgH2AwMASwRJmIiIiIhCyZ2ZoTgD+4+2J3fx/4tZkVp75pIiIiIq1PMs+cnQ08WOP1NOCm1DRHREREpHVLJjl7390/qHzh7u8C61PXJBEREZHWK5nkrLeZ7Vz5wsx2AXqmrkkiIiIirVcyszX/F/jAzNYQLKfRFTgtpa0SERERaaWaTM7c/UUz2xc4NFH0mrt/mdpmiYiIiLROSW187u7rgacqX5vZ1e5+bcpaJSIiItJKNZmcmdm5wNXArkBO4isOKDkTERERCVmyG5+PBNq4e5675wJXpbZZIiIiIq1TMsOa77r7h3XKZqaiMSIiIiKtXTLJ2TdmNguYB5Qlyo6jeoKAiIiIiIQkmWHN0cDLwBaqnznLSWWjRERERFqrZHrOLnX3qTULzOzZZCo3syOBCcBaIF53hqeZnQX8HNicKLrP3f+WOHYGcAAQBZa7+73J3FNEREQkkyWzztlUMxsN7AE8Ahzs7q83dZ2ZFQL3APu6e5mZPWFmY9x9Vp1TT3X3lXWu3R24FDjA3eNmtsDMXqzn2TcRERGRrNLksKaZXQ78jmBXgBhwiplNTKLuocAqd698Tu1V4Ph6zvsfM7vUzH5rZl0SZd8F3nL3eOL168CxSdxTREREJKMlM6zZ090PM7O73T0KXGRmtydx3a7AxhqvSxJlNc0BZrj7OjM7DngcGJPktVvp3LmQSCQviaZlpuLiDi3dBGkGxS+zKX6ZK5tjl83vrVJreI91JZOcfZ34Hq9R1i6J69YCNf9EixJlVdx9RY2XLwL/MrO8xHl96lz7UVM33LChNIlmZabi4g6sW7ex6RMlLSl+mU3xy1zZHrtsfm+Q/fFrKPFMZrZmoZldCfQ0s/8ys/9HMLzZlNeBXmZWkHg9HJhhZl3MrAjAzP5kZpUJYl9gRaJ37lngIDOrnBU6FK2tJiIiIq1AMsnZZUBboGvi5y+AJp85c/dS4DzgDjO7DliUmAxwOfCLxGlfAHcnkr8rgTMT134C3AzcZma3AH/VZAARERFpDZIZ1vwj8Lq7/3ZbK3f354Hn65T9qsbPkxq59u/A37f1niIiIiKZLJmes+OBF1LdEBERERFJLjl7Bfi2ZoGZXZya5oiIiIi0bskMa3YEPjCz16neW3MIcFvKWiUiIiLSSiWTnPUHrq1TtkcK2iIiIiLS6iWTnP207nZNiV40EREREQlZMsnZvMQG5V2B24EJ7v5ISlslIiIi0kolMyHgJoItlYYCW4CuZvbHlLZKREREpJVKJjnLdfczgc/dPe7utwMFTV0kIiIiItsumeSscqummntr7pKCtoiIiIi0esk8c1ZqZv8LmJn9EjgKmJ/aZomIiIi0Tg0mZ2Z2LPAScDXwY6AzwfpmjwH375DWiYiIiLQyjfWc/RB4lmB25v3USMjMbG9geYrbJiIiItLqNPbMWeVuACPrOXZhCtoiIiIi0uo11nP2GbAZyDOz/65RnkMwOeCCVDZMREREpDVqrOfsMaADcLO759X4ygVu3jHNExEREWldGus5uxb4PvBMPcf+lEzlZnYkMAFYC8Td/do6xy8DugFfAAcBv3X3pYljK4GViVM/dfcfJHNPERERkUzWWHL2qbtvMbPxBLM2a/odTQxrmlkhcA+wr7uXmdkTZjbG3WfVOK09MNHd42Z2CsFuBOMSxx5w92u25c2IiAicff2LSZ97/+VHpLAlIrI9GkvOOpjZx4nvY2uU5xAsq9HUM2dDgVXuXjmx4FXgeKAqOXP339Q4PxfYVOP14Wb2K4Kh1Znu/loT9xMRERHJeA0mZ+7+QzPrAfyBYK2zSjnANUnUvSuwscbrkkTZVsysDfAjoObEg8vdfX6iB26hmY1194+SuK+IiGSxbekZfPKWE1LYEpHUaHSHAHf/1Mx+7u6ba5ab2S1J1L2WoNerUlGirJZEYnY38Gt3r1o7zd3nJ76Xmtk7wHCg0eSsc+dCIpG8JJqWmYqLOzR9kqQtxS+zZWv8svV91ZTN7zGb31ul1vAe62psh4ABwBLg+2ZW9/AZwNFN1P060MvMChJDm8OBv5hZF6DC3UvMrB3wF4IZoYvN7CR3f8LMxgD57l45GaEPSSx6u2FDaVOnZKzi4g6sW7ex6RMlLSl+mS2b45et76umbH6P2fzeILs/e9Bw4tlYz9m9wOnA5cAbdY71aOqGiR6v84A7zGwdsMjdZ5nZjcCXwPXAP4DvAHsmEsCdgCcIetiuMbMDgd2AJ9z9labuKSIiIpLpGnvm7DAAM7vK3afUPGZmE5Kp3N2fB56vU/arGj/XW4+7vweclMw9RERERLJJY4vQAlA3MUvYJQVtEREREWn1GnvmrLHpMH2B/w2/OZJNtNaSiIjItmvsmbONwK0Ea5OVAXMT5SOARSlul4iIiEir1Fhy9ovEUhqn1nxODHjOzO5IdcNEREREWqMGnzlz908TP+6TWIsMADMrAPZLdcNEREREWqNGF6FNeAJYZWYLgDgwmGDXABHJYnpmUESkZSQzW/NO4CiCJTFmAd9197tS3TARERGR1iiZnjPc/X3g/RS3RSSjaH8/ERFJhSZ7zkRERERkx1FyJiIiIpJGlJyJiIiIpBElZyIiIiJpRMmZiIiISBpRciYiIiKSRpSciYiIiKQRJWciIiIiaSSpRWi3l5kdCUwA1gJxd7+2zvG2wM3Ap0Bf4Hp3X5Y4dgZwABAFlrv7valsq4iIiEg6SFnPmZkVAvcAF7v7NcD+ZjamzmkXAavd/U/AbcB9iWt3By4FLnX3XwE/MbO+qWqriIiISLpIZc/ZUGCVu5clXr8KHE+wP2el44ErAdz9PTMbaGZFwHeBt9w9njjvdeBY4MMUtldEWolt2XoLtP2WiOxYqUzOdgU21nhdkihL5pxkrt1K586FRCJ529XYTFBc3KGlm7BNsv0/tG19f4pf+tie95ZJ8cvm2IE+e5lu3CXTkz73yVtOyLj4hSGVydlaoOafaFGiLJlz1gJ96pR/1NQNN2wo3a6GZoLi4g6sW7ex6RMlLSl+mU3xy1yKXebL5vg1lHimcrbm60AvMytIvB4OzDCzLomhS4AZBMOfmNl+wLvuXgI8CxxkZjmJ84YCM1PYVhEREZG0kLLkzN1LgfOAO8zsOmCRu88CLgd+kThtEkECdxVwCXBO4tpPCGZx3mZmtwB/dXc9byYiIiJZL6VLabj788Dzdcp+VePnb4H/buDavwN/T2X7RERERNKNFqEVERERSSNKzkRERETSiJIzERERkTSi5ExEREQkjSg5ExEREUkjSs5ERERE0oiSMxEREZE0ktJ1zkRERERquv/yI1q6CWlPPWciIiIiaUTJmYiIiEgaUXImIiIikkaUnImIiIikESVnIiIiImlEyZmIiIhIGsmJx+Mt3QYRERERSVDPmYiIiEgaUXImIiIikkaUnImIiIikESVnIiIiImlEyZmIiIhIGlFyJiIiIpJGIi3dAKmfmf0S6A2sB/oC5wDtgOuBfyfKrnT3NS3VRqmfmV0M9AC+AQqAK4DOKHZpyez/t3e3IVJVcRzHvyqUT5kJiT2RYfYvKC20IioNrFQUMot6I1kQIVGYsVZimpG5Smv2YKlFZaCFYKBgiWQkZQiWLyISf5alW5lsYGFm2gP14py1cZ0VN9jdOzO/z6s55569nOE/Z+9/zr1nTgwA5gJDJV2Z67oDDcAPpHjNl7QzH5sEXAH8DeyStKxTOm5A+fjl+juAemCqpHUl9TcCE4Em4B9JT3Zwly1rZew9CgwA9gHDgNmSduRjNTP2PHNWQPkDO5lb/mMAAARPSURBVAN4UNITQC/SP5N5wEZJ84E1pIuHFUhEXA5MllSXYzcYmIBjV2TXAWuBLiV1DwGNkuqBRcBrABFxLlAH1El6BLg3IgZ3cH/tWMfFLyIuAH4CvittGBE9gaXANElzgCERMarjumotlBt7vYGHJS0A3gGegdobe07OiukQ8AfQJ5d7A18C44Atue6TXLZiGcyxF4RvgFE4doUlaTXwa4vqo/GS9AUwNCL6AKOBbZKaf717CzC2o/pqxysXP0nfSvqwTPNrgD2SjuSyx2InaiV2s0rGV1fgYH5dU2PPyVkBSToATAdWRcRy4Hvga6A//32QDwBnRIRvTRfLp8AlEdE9IroAw0lJtmNXWUrjBSlm/U9Qb5XB8asQEXEKMBl4PFfVVOycnBVQvjU2HRgn6W7Sc2ezSc9InJab9QF+lvRXp3TSypK0G7gPmAVMJc14NuLYVZrSeEGKWdMJ6q0yOH4VICdmS4CZknbl6pqKnZOzYjoH2F9y8f4R6A68S5qWB7g2l6149kuaKek5oC+wEseu0hyNV0RcBnyeZ7Q3AMPyrCi5zfrO6aL9D1uA8yPi1Fz2WCyYiOgBLAOelbQtIm7Lh2pq7Hnj8wKKiG7AC8Bh4BfgUtIDykeABcAeYBDwmFf8FU9EfAR8TIrXdkmrI6Ifjl0hRcRI4C5gDOnb+sJ8qIH0xehCYF6L1ZrDSSvGdlbzirFK0Er8DgMzSavcNwMrJG3I7W8CbictGPjTqzU7TyuxW0m65u3NzXqVrOSsmbHn5MzMzMysQHxb08zMzKxAnJyZmZmZFYiTMzMzM7MCcXJmZmZmViBOzszMzMwKxMmZmdWkiBgYEbtPot34iFiRX98fEXsj4oZ27p6Z1TAnZ2ZmJ/Y+accOJL0M7Ozc7phZtfPefmZW9SKiJ/AKsA/oCRwCzgT6RcRiYAfpRy8bgI2kbWKuB14CLgZGAgNbnPMs0i+UfwW8SNpXdQHwO3A6aYPt+nZ+a2ZWhZycmVktGAP0kzQJICJmAIuBkZIeaG4UEUOA0aTEbBBwHvA2sKnMOa8CVjUnYBHxFNAkaW4ub46IrZI+aLd3ZWZVycmZmdWCz4CFEbEWWAUsAga00nZT3tdWgCJiYJk2E0lbAEVJ3VigKSKW5vJvpOTOzKxN/MyZmVU9SY3ARcCrwJ2kW5CtfTk9chKn3A+sISV5zboAb0qaImkKMJ4062Zm1iZOzsys6kXEeGCEpHWSbgHOBg4C3fLxe9p4yk1AHTAiIsbluvXAzSVtGkibNJuZtYk3PjezqhcRVwNzgO1AX9ICgAbgPdJCgEPAW8Dz+U+WSHojInoAS4FbgXm5bT2wFZgGLCfd2nwaeJ00k9aVtCigUVJD+787M6s2Ts7MzMzMCsS3Nc3MzMwKxMmZmZmZWYE4OTMzMzMrECdnZmZmZgXi5MzMzMysQJycmZmZmRWIkzMzMzOzAnFyZmZmZlYg/wJvKArhAs612gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(10, 6))\n",
    "ax1.plot(k_list, anal_res, 'b', label='analytical')\n",
    "ax1.plot(k_list, stat_res, 'ro', label='static')\n",
    "ax1.set_ylabel('European call option value')\n",
    "ax1.legend(loc=0)\n",
    "ax1.set_ylim(bottom=0)\n",
    "wi = 1.0\n",
    "ax2.bar(k_list - wi / 2, (anal_res - stat_res) / anal_res * 100, wi)\n",
    "ax2.set_xlabel('strike')\n",
    "ax2.set_ylabel('difference in %')\n",
    "ax2.set_xlim(left=75, right=125);\n",
    "# plt.savefig('../../images/ch12/stoch_15.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {
    "uuid": "3f9f44ec-47de-4891-bf82-2b620c647c9a"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(10, 6))\n",
    "ax1.plot(k_list, anal_res, 'b', label='analytical')\n",
    "ax1.plot(k_list, dyna_res, 'ro', label='dynamic')\n",
    "ax1.set_ylabel('European call option value')\n",
    "ax1.legend(loc=0)\n",
    "ax1.set_ylim(bottom=0)\n",
    "wi = 1.0\n",
    "ax2.bar(k_list - wi / 2, (anal_res - dyna_res) / anal_res * 100, wi)\n",
    "ax2.set_xlabel('strike')\n",
    "ax2.set_ylabel('difference in %')\n",
    "ax2.set_xlim(left=75, right=125);\n",
    "# plt.savefig('../../images/ch12/stoch_16.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### American Options"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {
    "uuid": "033296d5-230b-4b35-ae3f-a2a7ed8c8937"
   },
   "outputs": [],
   "source": [
    "def gbm_mcs_amer(K, option='call'):\n",
    "    ''' Valuation of American option in Black-Scholes-Merton\n",
    "    by Monte Carlo simulation by LSM algorithm\n",
    "    \n",
    "    Parameters\n",
    "    ==========\n",
    "    K : float\n",
    "        (positive) strike price of the option\n",
    "    option : string\n",
    "        type of the option to be valued ('call', 'put')\n",
    "    \n",
    "    Returns\n",
    "    =======\n",
    "    C0 : float\n",
    "        estimated present value of European call option\n",
    "    '''\n",
    "    dt = T / M\n",
    "    df = math.exp(-r * dt)\n",
    "    # simulation of index levels\n",
    "    S = np.zeros((M + 1, I))\n",
    "    S[0] = S0\n",
    "    sn = gen_sn(M, I)\n",
    "    for t in range(1, M + 1):\n",
    "        S[t] = S[t - 1] * np.exp((r - 0.5 * sigma ** 2) * dt \n",
    "                + sigma * math.sqrt(dt) * sn[t])\n",
    "    # case based calculation of payoff\n",
    "    if option == 'call':\n",
    "        h = np.maximum(S - K, 0)\n",
    "    else:\n",
    "        h = np.maximum(K - S, 0)\n",
    "    # LSM algorithm\n",
    "    V = np.copy(h)\n",
    "    for t in range(M - 1, 0, -1):\n",
    "        reg = np.polyfit(S[t], V[t + 1] * df, 7)\n",
    "        C = np.polyval(reg, S[t])\n",
    "        V[t] = np.where(C > h[t], V[t + 1] * df, h[t])\n",
    "    # MCS estimator\n",
    "    C0 = df * np.mean(V[1])\n",
    "    return C0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {
    "uuid": "18dba6e2-2a7f-4474-bbee-227f354fcbc3"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.721705606305352"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gbm_mcs_amer(110., option='call')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {
    "uuid": "a82c68fc-9820-43a7-8302-3ae0f5a47650"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "13.609997625418051"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "gbm_mcs_amer(110., option='put')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "euro_res = []\n",
    "amer_res = []"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "k_list = np.arange(80., 120.1, 5.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "for K in k_list:\n",
    "    euro_res.append(gbm_mcs_dyna(K, 'put'))\n",
    "    amer_res.append(gbm_mcs_amer(K, 'put'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "uuid": "2c4a0f35-5a41-416b-aa39-53d78d1cc366"
   },
   "outputs": [],
   "source": [
    "euro_res = np.array(euro_res)\n",
    "amer_res = np.array(amer_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {
    "uuid": "6304932d-114f-43b1-ae59-4b0ad2de33fc"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(2, 1, sharex=True, figsize=(10, 6))\n",
    "ax1.plot(k_list, euro_res, 'b', label='European put')\n",
    "ax1.plot(k_list, amer_res, 'ro', label='American put')\n",
    "ax1.set_ylabel('call option value')\n",
    "ax1.legend(loc=0)\n",
    "wi = 1.0\n",
    "ax2.bar(k_list - wi / 2, (amer_res - euro_res) / euro_res * 100, wi)\n",
    "ax2.set_xlabel('strike')\n",
    "ax2.set_ylabel('early exercise premium in %')\n",
    "ax2.set_xlim(left=75, right=125);\n",
    "# plt.savefig('../../images/ch12/stoch_17.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Risk Measures"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Value-at-Risk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "S0 = 100\n",
    "r = 0.05\n",
    "sigma = 0.25\n",
    "T = 30 / 365.\n",
    "I = 10000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {
    "uuid": "5473289e-2301-40fb-a665-2d33d43ea09a"
   },
   "outputs": [],
   "source": [
    "ST = S0 * np.exp((r - 0.5 * sigma ** 2) * T +\n",
    "             sigma * np.sqrt(T) * npr.standard_normal(I))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {
    "uuid": "b2eed114-77e7-479b-b20b-d36a0ffbe636"
   },
   "outputs": [],
   "source": [
    "R_gbm = np.sort(ST - S0)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {
    "uuid": "b53e5254-96cc-4294-8ef7-76a2cf21cbca"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(R_gbm, bins=50)\n",
    "plt.xlabel('absolute return')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_18.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.simplefilter('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {
    "uuid": "768aa308-d5c2-4f5d-9936-c19c9321996a"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Confidence Level    Value-at-Risk\n",
      "---------------------------------\n",
      "           99.99           21.814\n",
      "           99.90           18.837\n",
      "           99.00           15.230\n",
      "           97.50           12.816\n",
      "           95.00           10.824\n",
      "           90.00            8.504\n"
     ]
    }
   ],
   "source": [
    "percs = [0.01, 0.1, 1., 2.5, 5.0, 10.0]\n",
    "var = scs.scoreatpercentile(R_gbm, percs)\n",
    "print('%16s %16s' % ('Confidence Level', 'Value-at-Risk'))\n",
    "print(33 * '-')\n",
    "for pair in zip(percs, var):\n",
    "    print('%16.2f %16.3f' % (100 - pair[0], -pair[1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [],
   "source": [
    "dt = 30. / 365 / M\n",
    "rj = lamb * (math.exp(mu + 0.5 * delta ** 2) - 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {
    "uuid": "b9952498-c4ad-4d5a-8d3c-3bce1d71006d"
   },
   "outputs": [],
   "source": [
    "S = np.zeros((M + 1, I))\n",
    "S[0] = S0\n",
    "sn1 = npr.standard_normal((M + 1, I))\n",
    "sn2 = npr.standard_normal((M + 1, I))\n",
    "poi = npr.poisson(lamb * dt, (M + 1, I))\n",
    "for t in range(1, M + 1, 1):\n",
    "    S[t] = S[t - 1] * (np.exp((r - rj - 0.5 * sigma ** 2) * dt\n",
    "                       + sigma * math.sqrt(dt) * sn1[t])\n",
    "                       + (np.exp(mu + delta * sn2[t]) - 1)\n",
    "                       * poi[t])\n",
    "    S[t] = np.maximum(S[t], 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {
    "uuid": "37cfd26e-2c44-456a-8b8b-56cf10e12aac"
   },
   "outputs": [],
   "source": [
    "R_jd = np.sort(S[-1] - S0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "uuid": "3300cad0-872b-45ef-9b12-3fc3507b2c54"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(R_jd, bins=50)\n",
    "plt.xlabel('absolute return')\n",
    "plt.ylabel('frequency');\n",
    "# plt.savefig('../../images/ch12/stoch_19.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "uuid": "8adcca19-77bf-4d8e-a342-1a5cc1cadd69"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Confidence Level    Value-at-Risk\n",
      "---------------------------------\n",
      "           99.99           76.520\n",
      "           99.90           69.396\n",
      "           99.00           55.974\n",
      "           97.50           46.405\n",
      "           95.00           24.198\n",
      "           90.00            8.836\n"
     ]
    }
   ],
   "source": [
    "percs = [0.01, 0.1, 1., 2.5, 5.0, 10.0]\n",
    "var = scs.scoreatpercentile(R_jd, percs)\n",
    "print('%16s %16s' % ('Confidence Level', 'Value-at-Risk'))\n",
    "print(33 * '-')\n",
    "for pair in zip(percs, var):\n",
    "    print('%16.2f %16.3f' % (100 - pair[0], -pair[1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {
    "uuid": "812884b3-c147-4799-8b7a-93eb62a9b1fc"
   },
   "outputs": [],
   "source": [
    "percs = list(np.arange(0.0, 10.1, 0.1))\n",
    "gbm_var = scs.scoreatpercentile(R_gbm, percs)\n",
    "jd_var = scs.scoreatpercentile(R_jd, percs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {
    "uuid": "b960f3cc-fed3-4cfa-9189-040931e4ab09"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(percs, gbm_var, 'b', lw=1.5, label='GBM')\n",
    "plt.plot(percs, jd_var, 'r', lw=1.5, label='JD')\n",
    "plt.legend(loc=4)\n",
    "plt.xlabel('100 - confidence level [%]')\n",
    "plt.ylabel('value-at-risk')\n",
    "plt.ylim(ymax=0.0);\n",
    "# plt.savefig('../../images/ch12/stoch_20.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Credit Value Adjustments"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [],
   "source": [
    "S0 = 100.\n",
    "r = 0.05\n",
    "sigma = 0.2\n",
    "T = 1.\n",
    "I = 100000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {
    "uuid": "92795f2e-84b4-4881-960f-91a39eb1cc77"
   },
   "outputs": [],
   "source": [
    "ST = S0 * np.exp((r - 0.5 * sigma ** 2) * T \n",
    "             + sigma * np.sqrt(T) * npr.standard_normal(I))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {
    "uuid": "3e3c6a61-c268-44f4-bce9-f3c2f83faac9"
   },
   "outputs": [],
   "source": [
    "L = 0.5  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {
    "uuid": "f06f2c7d-8c1a-4cc3-b171-dad76994c6b9"
   },
   "outputs": [],
   "source": [
    "p = 0.01  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [],
   "source": [
    "D = npr.poisson(p * T, I)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {
    "uuid": "38b71c82-76a1-4299-992f-93820cbf2677"
   },
   "outputs": [],
   "source": [
    "D = np.where(D > 1, 1, D)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {
    "uuid": "46418aea-2253-4f09-840a-1c45676bda2c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "99.94767178982691"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "math.exp(-r * T) * np.mean(ST)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {
    "uuid": "fe7436d3-4eb4-40f4-9d4c-c5efa0e3d3a0"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4883560258963962"
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "CVaR = math.exp(-r * T) * np.mean(L * D * ST)  \n",
    "CVaR  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "uuid": "3070c8f6-8a77-4373-b423-f6871170dbaf"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "99.45931576393053"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "S0_CVA = math.exp(-r * T) * np.mean((1 - L * D) * ST)  \n",
    "S0_CVA  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {
    "uuid": "d7d14139-b76d-4c11-a57b-930db11abd3c"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "99.5116439741036"
      ]
     },
     "execution_count": 108,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "S0_adj = S0 - CVaR  \n",
    "S0_adj  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {
    "uuid": "c6995617-5021-4d8f-9f94-8fca0571ff89"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "978"
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.count_nonzero(L * D * ST)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {
    "uuid": "fc6e6717-9ffc-486c-a736-3892c277f3e6"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(L * D * ST, bins=50)\n",
    "plt.xlabel('loss')\n",
    "plt.ylabel('frequency')\n",
    "plt.ylim(ymax=175);\n",
    "# plt.savefig('../../images/ch12/stoch_21.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [],
   "source": [
    "K = 100.\n",
    "hT = np.maximum(ST - K, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {
    "uuid": "59b7c831-c915-4c06-a23b-0ac913220d76"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.396916492839354"
      ]
     },
     "execution_count": 112,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C0 = math.exp(-r * T) * np.mean(hT)  \n",
    "C0  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "uuid": "da0198e3-10bc-4324-8e0e-b09c2e61e94d"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.05159099858923533"
      ]
     },
     "execution_count": 113,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "CVaR = math.exp(-r * T) * np.mean(L * D * hT)  \n",
    "CVaR  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {
    "uuid": "24d26328-f3f2-4da4-8d5c-7fb06a70eec8"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10.34532549425012"
      ]
     },
     "execution_count": 114,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C0_CVA = math.exp(-r * T) * np.mean((1 - L * D) * hT)  \n",
    "C0_CVA  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {
    "uuid": "a221dbb8-eec3-45e1-abd7-146050c0285f"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "538"
      ]
     },
     "execution_count": 115,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.count_nonzero(L * D * hT)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {
    "uuid": "e1becbb6-7a1e-49bb-8a8e-b7daab189c6e"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "978"
      ]
     },
     "execution_count": 116,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.count_nonzero(D)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {
    "uuid": "44c3d031-8002-4bba-abd7-0db5451b2d52"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "44123"
      ]
     },
     "execution_count": 117,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "I - np.count_nonzero(hT)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {
    "uuid": "b132d24e-093b-45e6-a4cc-29b8ef006038"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(L * D * hT, bins=50)\n",
    "plt.xlabel('loss')\n",
    "plt.ylabel('frequency')\n",
    "plt.ylim(ymax=350);\n",
    "# plt.savefig('../../images/ch12/stoch_22.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
